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Finding the Fourth Proportional to 5,658.75, 8,482.50 and 2,691.95

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Solution

The fourth proportional to 5,658.75, 8,482.50 and 2,691.95 is: 4,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.75 : 8,482.50 = 2,691.95 : x
  2. Step 2: Convert to fraction form
    5,658.75/8,482.50 = 2,691.95/x
  3. Step 3: Cross multiply
    5,658.75x = 8,482.50 × 2,691.95
  4. Step 4: Simplify right side
    5,658.75x = 22,834,423.46
  5. Step 5: Solve for x
    x = 22,834,423.46/5,658.75
  6. Step 6: Final answer
    x = 4,035.24

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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.