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Finding the Fourth Proportional to 3,602,794.08, 4,971,042.32 and 2,152,206.80

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Solution

The fourth proportional to 3,602,794.08, 4,971,042.32 and 2,152,206.80 is: 2,969,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602,794.08 : 4,971,042.32 = 2,152,206.80 : x
  2. Step 2: Convert to fraction form
    3,602,794.08/4,971,042.32 = 2,152,206.80/x
  3. Step 3: Cross multiply
    3,602,794.08x = 4,971,042.32 × 2,152,206.80
  4. Step 4: Simplify right side
    3,602,794.08x = 10,698,711,048,575.53
  5. Step 5: Solve for x
    x = 10,698,711,048,575.53/3,602,794.08
  6. Step 6: Final answer
    x = 2,969,559.41

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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.