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Finding the Fourth Proportional to 5,382.60, 7,428.12 and 3,024.72

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Solution

The fourth proportional to 5,382.60, 7,428.12 and 3,024.72 is: 4,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.60 : 7,428.12 = 3,024.72 : x
  2. Step 2: Convert to fraction form
    5,382.60/7,428.12 = 3,024.72/x
  3. Step 3: Cross multiply
    5,382.60x = 7,428.12 × 3,024.72
  4. Step 4: Simplify right side
    5,382.60x = 22,467,983.13
  5. Step 5: Solve for x
    x = 22,467,983.13/5,382.60
  6. Step 6: Final answer
    x = 4,174.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.