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Finding the Fourth Proportional to 3,597.91, 5,399.14 and 1,650.16

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Solution

The fourth proportional to 3,597.91, 5,399.14 and 1,650.16 is: 2,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.91 : 5,399.14 = 1,650.16 : x
  2. Step 2: Convert to fraction form
    3,597.91/5,399.14 = 1,650.16/x
  3. Step 3: Cross multiply
    3,597.91x = 5,399.14 × 1,650.16
  4. Step 4: Simplify right side
    3,597.91x = 8,909,444.86
  5. Step 5: Solve for x
    x = 8,909,444.86/3,597.91
  6. Step 6: Final answer
    x = 2,476.28

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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.