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Finding the Fourth Proportional to 5,689.94, 8,534.90 and 2,224.76

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Solution

The fourth proportional to 5,689.94, 8,534.90 and 2,224.76 is: 3,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.94 : 8,534.90 = 2,224.76 : x
  2. Step 2: Convert to fraction form
    5,689.94/8,534.90 = 2,224.76/x
  3. Step 3: Cross multiply
    5,689.94x = 8,534.90 × 2,224.76
  4. Step 4: Simplify right side
    5,689.94x = 18,988,104.12
  5. Step 5: Solve for x
    x = 18,988,104.12/5,689.94
  6. Step 6: Final answer
    x = 3,337.14

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Similar ratio
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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.