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Finding the Fourth Proportional to 5,952.32, 8,934.16 and 2,876.48

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Solution

The fourth proportional to 5,952.32, 8,934.16 and 2,876.48 is: 4,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.32 : 8,934.16 = 2,876.48 : x
  2. Step 2: Convert to fraction form
    5,952.32/8,934.16 = 2,876.48/x
  3. Step 3: Cross multiply
    5,952.32x = 8,934.16 × 2,876.48
  4. Step 4: Simplify right side
    5,952.32x = 25,698,932.56
  5. Step 5: Solve for x
    x = 25,698,932.56/5,952.32
  6. Step 6: Final answer
    x = 4,317.46

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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.