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Finding the Fourth Proportional to 5,778,709.50, 7,974,645.75 and 3,200,336.22

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Solution

The fourth proportional to 5,778,709.50, 7,974,645.75 and 3,200,336.22 is: 4,416,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778,709.50 : 7,974,645.75 = 3,200,336.22 : x
  2. Step 2: Convert to fraction form
    5,778,709.50/7,974,645.75 = 3,200,336.22/x
  3. Step 3: Cross multiply
    5,778,709.50x = 7,974,645.75 × 3,200,336.22
  4. Step 4: Simplify right side
    5,778,709.50x = 25,521,547,635,394.07
  5. Step 5: Solve for x
    x = 25,521,547,635,394.07/5,778,709.50
  6. Step 6: Final answer
    x = 4,416,478.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.