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Finding the Fourth Proportional to 3,143.52, 4,717.53 and 2,534.58

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Solution

The fourth proportional to 3,143.52, 4,717.53 and 2,534.58 is: 3,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.52 : 4,717.53 = 2,534.58 : x
  2. Step 2: Convert to fraction form
    3,143.52/4,717.53 = 2,534.58/x
  3. Step 3: Cross multiply
    3,143.52x = 4,717.53 × 2,534.58
  4. Step 4: Simplify right side
    3,143.52x = 11,956,957.19
  5. Step 5: Solve for x
    x = 11,956,957.19/3,143.52
  6. Step 6: Final answer
    x = 3,803.68

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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.