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Finding the Fourth Proportional to 3,630.74, 5,446.10 and 2,537.24

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Solution

The fourth proportional to 3,630.74, 5,446.10 and 2,537.24 is: 3,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.74 : 5,446.10 = 2,537.24 : x
  2. Step 2: Convert to fraction form
    3,630.74/5,446.10 = 2,537.24/x
  3. Step 3: Cross multiply
    3,630.74x = 5,446.10 × 2,537.24
  4. Step 4: Simplify right side
    3,630.74x = 13,818,041.88
  5. Step 5: Solve for x
    x = 13,818,041.88/3,630.74
  6. Step 6: Final answer
    x = 3,805.85

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1.5x scale

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.