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Finding the Fourth Proportional to 4,100.68, 5,654.10 and 3,312.28

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Solution

The fourth proportional to 4,100.68, 5,654.10 and 3,312.28 is: 4,567.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.68 : 5,654.10 = 3,312.28 : x
  2. Step 2: Convert to fraction form
    4,100.68/5,654.10 = 3,312.28/x
  3. Step 3: Cross multiply
    4,100.68x = 5,654.10 × 3,312.28
  4. Step 4: Simplify right side
    4,100.68x = 18,727,962.35
  5. Step 5: Solve for x
    x = 18,727,962.35/4,100.68
  6. Step 6: Final answer
    x = 4,567.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.