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Finding the Fourth Proportional to 5,057.34, 7,586.92 and 1,547.28

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Solution

The fourth proportional to 5,057.34, 7,586.92 and 1,547.28 is: 2,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.34 : 7,586.92 = 1,547.28 : x
  2. Step 2: Convert to fraction form
    5,057.34/7,586.92 = 1,547.28/x
  3. Step 3: Cross multiply
    5,057.34x = 7,586.92 × 1,547.28
  4. Step 4: Simplify right side
    5,057.34x = 11,739,115.75
  5. Step 5: Solve for x
    x = 11,739,115.75/5,057.34
  6. Step 6: Final answer
    x = 2,321.20

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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.