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Finding the Fourth Proportional to 3,135.62, 4,702.47 and 2,167.94

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Solution

The fourth proportional to 3,135.62, 4,702.47 and 2,167.94 is: 3,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.62 : 4,702.47 = 2,167.94 : x
  2. Step 2: Convert to fraction form
    3,135.62/4,702.47 = 2,167.94/x
  3. Step 3: Cross multiply
    3,135.62x = 4,702.47 × 2,167.94
  4. Step 4: Simplify right side
    3,135.62x = 10,194,672.81
  5. Step 5: Solve for x
    x = 10,194,672.81/3,135.62
  6. Step 6: Final answer
    x = 3,251.25

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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.