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Finding the Fourth Proportional to 5,737.14, 8,605.71 and 2,228.76

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Solution

The fourth proportional to 5,737.14, 8,605.71 and 2,228.76 is: 3,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.14 : 8,605.71 = 2,228.76 : x
  2. Step 2: Convert to fraction form
    5,737.14/8,605.71 = 2,228.76/x
  3. Step 3: Cross multiply
    5,737.14x = 8,605.71 × 2,228.76
  4. Step 4: Simplify right side
    5,737.14x = 19,180,062.22
  5. Step 5: Solve for x
    x = 19,180,062.22/5,737.14
  6. Step 6: Final answer
    x = 3,343.14

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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.