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Finding the Fourth Proportional to 3,798.32, 5,697.60 and 1,607.12

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Solution

The fourth proportional to 3,798.32, 5,697.60 and 1,607.12 is: 2,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.32 : 5,697.60 = 1,607.12 : x
  2. Step 2: Convert to fraction form
    3,798.32/5,697.60 = 1,607.12/x
  3. Step 3: Cross multiply
    3,798.32x = 5,697.60 × 1,607.12
  4. Step 4: Simplify right side
    3,798.32x = 9,156,726.91
  5. Step 5: Solve for x
    x = 9,156,726.91/3,798.32
  6. Step 6: Final answer
    x = 2,410.73

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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.