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Finding the Fourth Proportional to 4,992.38, 6,887.40 and 3,314.69

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Solution

The fourth proportional to 4,992.38, 6,887.40 and 3,314.69 is: 4,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.38 : 6,887.40 = 3,314.69 : x
  2. Step 2: Convert to fraction form
    4,992.38/6,887.40 = 3,314.69/x
  3. Step 3: Cross multiply
    4,992.38x = 6,887.40 × 3,314.69
  4. Step 4: Simplify right side
    4,992.38x = 22,829,574.87
  5. Step 5: Solve for x
    x = 22,829,574.87/4,992.38
  6. Step 6: Final answer
    x = 4,572.88

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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.