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Finding the Fourth Proportional to 5,143.59, 7,709.58 and 3,197.16

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Solution

The fourth proportional to 5,143.59, 7,709.58 and 3,197.16 is: 4,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.59 : 7,709.58 = 3,197.16 : x
  2. Step 2: Convert to fraction form
    5,143.59/7,709.58 = 3,197.16/x
  3. Step 3: Cross multiply
    5,143.59x = 7,709.58 × 3,197.16
  4. Step 4: Simplify right side
    5,143.59x = 24,648,760.79
  5. Step 5: Solve for x
    x = 24,648,760.79/5,143.59
  6. Step 6: Final answer
    x = 4,792.13

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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.