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Finding the Fourth Proportional to 4,761.08, 7,122.96 and 4,207.04

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Solution

The fourth proportional to 4,761.08, 7,122.96 and 4,207.04 is: 6,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.08 : 7,122.96 = 4,207.04 : x
  2. Step 2: Convert to fraction form
    4,761.08/7,122.96 = 4,207.04/x
  3. Step 3: Cross multiply
    4,761.08x = 7,122.96 × 4,207.04
  4. Step 4: Simplify right side
    4,761.08x = 29,966,577.64
  5. Step 5: Solve for x
    x = 29,966,577.64/4,761.08
  6. Step 6: Final answer
    x = 6,294.07

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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.