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Finding the Fourth Proportional to 3,798.30, 5,697.18 and 1,025.13

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Solution

The fourth proportional to 3,798.30, 5,697.18 and 1,025.13 is: 1,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.30 : 5,697.18 = 1,025.13 : x
  2. Step 2: Convert to fraction form
    3,798.30/5,697.18 = 1,025.13/x
  3. Step 3: Cross multiply
    3,798.30x = 5,697.18 × 1,025.13
  4. Step 4: Simplify right side
    3,798.30x = 5,840,350.13
  5. Step 5: Solve for x
    x = 5,840,350.13/3,798.30
  6. Step 6: Final answer
    x = 1,537.62

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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.