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Finding the Fourth Proportional to 5,648.29, 8,471.71 and 1,488.62

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Solution

The fourth proportional to 5,648.29, 8,471.71 and 1,488.62 is: 2,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.29 : 8,471.71 = 1,488.62 : x
  2. Step 2: Convert to fraction form
    5,648.29/8,471.71 = 1,488.62/x
  3. Step 3: Cross multiply
    5,648.29x = 8,471.71 × 1,488.62
  4. Step 4: Simplify right side
    5,648.29x = 12,611,174.40
  5. Step 5: Solve for x
    x = 12,611,174.40/5,648.29
  6. Step 6: Final answer
    x = 2,232.74

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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.