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Finding the Fourth Proportional to 3,658.50, 5,473.98 and 2,565

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Solution

The fourth proportional to 3,658.50, 5,473.98 and 2,565 is: 3,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.50 : 5,473.98 = 2,565 : x
  2. Step 2: Convert to fraction form
    3,658.50/5,473.98 = 2,565/x
  3. Step 3: Cross multiply
    3,658.50x = 5,473.98 × 2,565
  4. Step 4: Simplify right side
    3,658.50x = 14,040,758.70
  5. Step 5: Solve for x
    x = 14,040,758.70/3,658.50
  6. Step 6: Final answer
    x = 3,837.85

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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.