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Finding the Fourth Proportional to 4,737.55, 7,103.29 and 1,966.14

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Solution

The fourth proportional to 4,737.55, 7,103.29 and 1,966.14 is: 2,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.55 : 7,103.29 = 1,966.14 : x
  2. Step 2: Convert to fraction form
    4,737.55/7,103.29 = 1,966.14/x
  3. Step 3: Cross multiply
    4,737.55x = 7,103.29 × 1,966.14
  4. Step 4: Simplify right side
    4,737.55x = 13,966,044.84
  5. Step 5: Solve for x
    x = 13,966,044.84/4,737.55
  6. Step 6: Final answer
    x = 2,947.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.