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Finding the Fourth Proportional to 5,470.29, 8,204.22 and 2,547

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Solution

The fourth proportional to 5,470.29, 8,204.22 and 2,547 is: 3,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.29 : 8,204.22 = 2,547 : x
  2. Step 2: Convert to fraction form
    5,470.29/8,204.22 = 2,547/x
  3. Step 3: Cross multiply
    5,470.29x = 8,204.22 × 2,547
  4. Step 4: Simplify right side
    5,470.29x = 20,896,148.34
  5. Step 5: Solve for x
    x = 20,896,148.34/5,470.29
  6. Step 6: Final answer
    x = 3,819.93

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