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Finding the Fourth Proportional to 5,655.16, 8,465.28 and 3,456.64

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Solution

The fourth proportional to 5,655.16, 8,465.28 and 3,456.64 is: 5,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.16 : 8,465.28 = 3,456.64 : x
  2. Step 2: Convert to fraction form
    5,655.16/8,465.28 = 3,456.64/x
  3. Step 3: Cross multiply
    5,655.16x = 8,465.28 × 3,456.64
  4. Step 4: Simplify right side
    5,655.16x = 29,261,425.46
  5. Step 5: Solve for x
    x = 29,261,425.46/5,655.16
  6. Step 6: Final answer
    x = 5,174.29

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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.