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Finding the Fourth Proportional to 4,193.42, 5,787.02 and 2,425.13

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Solution

The fourth proportional to 4,193.42, 5,787.02 and 2,425.13 is: 3,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.42 : 5,787.02 = 2,425.13 : x
  2. Step 2: Convert to fraction form
    4,193.42/5,787.02 = 2,425.13/x
  3. Step 3: Cross multiply
    4,193.42x = 5,787.02 × 2,425.13
  4. Step 4: Simplify right side
    4,193.42x = 14,034,275.81
  5. Step 5: Solve for x
    x = 14,034,275.81/4,193.42
  6. Step 6: Final answer
    x = 3,346.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.