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Finding the Fourth Proportional to 4,737.90, 7,106.85 and 1,275.14

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Solution

The fourth proportional to 4,737.90, 7,106.85 and 1,275.14 is: 1,912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.90 : 7,106.85 = 1,275.14 : x
  2. Step 2: Convert to fraction form
    4,737.90/7,106.85 = 1,275.14/x
  3. Step 3: Cross multiply
    4,737.90x = 7,106.85 × 1,275.14
  4. Step 4: Simplify right side
    4,737.90x = 9,062,228.71
  5. Step 5: Solve for x
    x = 9,062,228.71/4,737.90
  6. Step 6: Final answer
    x = 1,912.71

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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.