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Finding the Fourth Proportional to 3,564.62, 4,920.96 and 2,446

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Solution

The fourth proportional to 3,564.62, 4,920.96 and 2,446 is: 3,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.62 : 4,920.96 = 2,446 : x
  2. Step 2: Convert to fraction form
    3,564.62/4,920.96 = 2,446/x
  3. Step 3: Cross multiply
    3,564.62x = 4,920.96 × 2,446
  4. Step 4: Simplify right side
    3,564.62x = 12,036,668.16
  5. Step 5: Solve for x
    x = 12,036,668.16/3,564.62
  6. Step 6: Final answer
    x = 3,376.70

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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.