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Finding the Fourth Proportional to 4,302.08, 6,445.92 and 2,656.16

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Solution

The fourth proportional to 4,302.08, 6,445.92 and 2,656.16 is: 3,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.08 : 6,445.92 = 2,656.16 : x
  2. Step 2: Convert to fraction form
    4,302.08/6,445.92 = 2,656.16/x
  3. Step 3: Cross multiply
    4,302.08x = 6,445.92 × 2,656.16
  4. Step 4: Simplify right side
    4,302.08x = 17,121,394.87
  5. Step 5: Solve for x
    x = 17,121,394.87/4,302.08
  6. Step 6: Final answer
    x = 3,979.79

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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.