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Finding the Fourth Proportional to 5,654.98, 8,475.49 and 4,100.32

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Solution

The fourth proportional to 5,654.98, 8,475.49 and 4,100.32 is: 6,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.98 : 8,475.49 = 4,100.32 : x
  2. Step 2: Convert to fraction form
    5,654.98/8,475.49 = 4,100.32/x
  3. Step 3: Cross multiply
    5,654.98x = 8,475.49 × 4,100.32
  4. Step 4: Simplify right side
    5,654.98x = 34,752,158.28
  5. Step 5: Solve for x
    x = 34,752,158.28/5,654.98
  6. Step 6: Final answer
    x = 6,145.41

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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.