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Finding the Fourth Proportional to 5,145.96, 7,728.30 and 4,937.16

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Solution

The fourth proportional to 5,145.96, 7,728.30 and 4,937.16 is: 7,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.96 : 7,728.30 = 4,937.16 : x
  2. Step 2: Convert to fraction form
    5,145.96/7,728.30 = 4,937.16/x
  3. Step 3: Cross multiply
    5,145.96x = 7,728.30 × 4,937.16
  4. Step 4: Simplify right side
    5,145.96x = 38,155,853.63
  5. Step 5: Solve for x
    x = 38,155,853.63/5,145.96
  6. Step 6: Final answer
    x = 7,414.72

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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.