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Finding the Fourth Proportional to 5,471.47, 8,201.53 and 2,547.37

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Solution

The fourth proportional to 5,471.47, 8,201.53 and 2,547.37 is: 3,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.47 : 8,201.53 = 2,547.37 : x
  2. Step 2: Convert to fraction form
    5,471.47/8,201.53 = 2,547.37/x
  3. Step 3: Cross multiply
    5,471.47x = 8,201.53 × 2,547.37
  4. Step 4: Simplify right side
    5,471.47x = 20,892,331.48
  5. Step 5: Solve for x
    x = 20,892,331.48/5,471.47
  6. Step 6: Final answer
    x = 3,818.41

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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.