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Finding the Fourth Proportional to 5,315.90, 7,974.81 and 1,617.71

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Solution

The fourth proportional to 5,315.90, 7,974.81 and 1,617.71 is: 2,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.90 : 7,974.81 = 1,617.71 : x
  2. Step 2: Convert to fraction form
    5,315.90/7,974.81 = 1,617.71/x
  3. Step 3: Cross multiply
    5,315.90x = 7,974.81 × 1,617.71
  4. Step 4: Simplify right side
    5,315.90x = 12,900,890.01
  5. Step 5: Solve for x
    x = 12,900,890.01/5,315.90
  6. Step 6: Final answer
    x = 2,426.85

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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.