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Finding the Fourth Proportional to 3,156.39, 4,737.52 and 1,597.49

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Solution

The fourth proportional to 3,156.39, 4,737.52 and 1,597.49 is: 2,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.39 : 4,737.52 = 1,597.49 : x
  2. Step 2: Convert to fraction form
    3,156.39/4,737.52 = 1,597.49/x
  3. Step 3: Cross multiply
    3,156.39x = 4,737.52 × 1,597.49
  4. Step 4: Simplify right side
    3,156.39x = 7,568,148.67
  5. Step 5: Solve for x
    x = 7,568,148.67/3,156.39
  6. Step 6: Final answer
    x = 2,397.72

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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.