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Finding the Fourth Proportional to 5,230.76, 7,845.22 and 1,532.90

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Solution

The fourth proportional to 5,230.76, 7,845.22 and 1,532.90 is: 2,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.76 : 7,845.22 = 1,532.90 : x
  2. Step 2: Convert to fraction form
    5,230.76/7,845.22 = 1,532.90/x
  3. Step 3: Cross multiply
    5,230.76x = 7,845.22 × 1,532.90
  4. Step 4: Simplify right side
    5,230.76x = 12,025,937.74
  5. Step 5: Solve for x
    x = 12,025,937.74/5,230.76
  6. Step 6: Final answer
    x = 2,299.08

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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.