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Finding the Fourth Proportional to 5,715.32, 7,887.20 and 3,357.50

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Solution

The fourth proportional to 5,715.32, 7,887.20 and 3,357.50 is: 4,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.32 : 7,887.20 = 3,357.50 : x
  2. Step 2: Convert to fraction form
    5,715.32/7,887.20 = 3,357.50/x
  3. Step 3: Cross multiply
    5,715.32x = 7,887.20 × 3,357.50
  4. Step 4: Simplify right side
    5,715.32x = 26,481,217.78
  5. Step 5: Solve for x
    x = 26,481,217.78/5,715.32
  6. Step 6: Final answer
    x = 4,633.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.