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Finding the Fourth Proportional to 5,147.50, 7,715.95 and 2,026.24

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Solution

The fourth proportional to 5,147.50, 7,715.95 and 2,026.24 is: 3,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.50 : 7,715.95 = 2,026.24 : x
  2. Step 2: Convert to fraction form
    5,147.50/7,715.95 = 2,026.24/x
  3. Step 3: Cross multiply
    5,147.50x = 7,715.95 × 2,026.24
  4. Step 4: Simplify right side
    5,147.50x = 15,634,366.53
  5. Step 5: Solve for x
    x = 15,634,366.53/5,147.50
  6. Step 6: Final answer
    x = 3,037.27

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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.