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Finding the Fourth Proportional to 5,123.52, 7,686.36 and 1,660.50

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Solution

The fourth proportional to 5,123.52, 7,686.36 and 1,660.50 is: 2,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.52 : 7,686.36 = 1,660.50 : x
  2. Step 2: Convert to fraction form
    5,123.52/7,686.36 = 1,660.50/x
  3. Step 3: Cross multiply
    5,123.52x = 7,686.36 × 1,660.50
  4. Step 4: Simplify right side
    5,123.52x = 12,763,200.78
  5. Step 5: Solve for x
    x = 12,763,200.78/5,123.52
  6. Step 6: Final answer
    x = 2,491.10

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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.