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Finding the Fourth Proportional to 5,359, 8,037.26 and 1,463.70

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Solution

The fourth proportional to 5,359, 8,037.26 and 1,463.70 is: 2,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359 : 8,037.26 = 1,463.70 : x
  2. Step 2: Convert to fraction form
    5,359/8,037.26 = 1,463.70/x
  3. Step 3: Cross multiply
    5,359x = 8,037.26 × 1,463.70
  4. Step 4: Simplify right side
    5,359x = 11,764,137.46
  5. Step 5: Solve for x
    x = 11,764,137.46/5,359
  6. Step 6: Final answer
    x = 2,195.21

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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.