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Finding the Fourth Proportional to 5,097.96, 7,612.43 and 4,046.16

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Solution

The fourth proportional to 5,097.96, 7,612.43 and 4,046.16 is: 6,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.96 : 7,612.43 = 4,046.16 : x
  2. Step 2: Convert to fraction form
    5,097.96/7,612.43 = 4,046.16/x
  3. Step 3: Cross multiply
    5,097.96x = 7,612.43 × 4,046.16
  4. Step 4: Simplify right side
    5,097.96x = 30,801,119.88
  5. Step 5: Solve for x
    x = 30,801,119.88/5,097.96
  6. Step 6: Final answer
    x = 6,041.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.