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Finding the Fourth Proportional to 3,151.47, 4,725.83 and 959.69

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Solution

The fourth proportional to 3,151.47, 4,725.83 and 959.69 is: 1,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.47 : 4,725.83 = 959.69 : x
  2. Step 2: Convert to fraction form
    3,151.47/4,725.83 = 959.69/x
  3. Step 3: Cross multiply
    3,151.47x = 4,725.83 × 959.69
  4. Step 4: Simplify right side
    3,151.47x = 4,535,346.01
  5. Step 5: Solve for x
    x = 4,535,346.01/3,151.47
  6. Step 6: Final answer
    x = 1,439.12

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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.