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Finding the Fourth Proportional to 5,470.50, 8,200.86 and 2,547.21

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Solution

The fourth proportional to 5,470.50, 8,200.86 and 2,547.21 is: 3,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.50 : 8,200.86 = 2,547.21 : x
  2. Step 2: Convert to fraction form
    5,470.50/8,200.86 = 2,547.21/x
  3. Step 3: Cross multiply
    5,470.50x = 8,200.86 × 2,547.21
  4. Step 4: Simplify right side
    5,470.50x = 20,889,312.60
  5. Step 5: Solve for x
    x = 20,889,312.60/5,470.50
  6. Step 6: Final answer
    x = 3,818.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.