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Finding the Fourth Proportional to 5,282.66, 7,934.79 and 4,462.40

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Solution

The fourth proportional to 5,282.66, 7,934.79 and 4,462.40 is: 6,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.66 : 7,934.79 = 4,462.40 : x
  2. Step 2: Convert to fraction form
    5,282.66/7,934.79 = 4,462.40/x
  3. Step 3: Cross multiply
    5,282.66x = 7,934.79 × 4,462.40
  4. Step 4: Simplify right side
    5,282.66x = 35,408,206.90
  5. Step 5: Solve for x
    x = 35,408,206.90/5,282.66
  6. Step 6: Final answer
    x = 6,702.72

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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.