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Finding the Fourth Proportional to 5,230.05, 7,844.16 and 1,532.49

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Solution

The fourth proportional to 5,230.05, 7,844.16 and 1,532.49 is: 2,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.05 : 7,844.16 = 1,532.49 : x
  2. Step 2: Convert to fraction form
    5,230.05/7,844.16 = 1,532.49/x
  3. Step 3: Cross multiply
    5,230.05x = 7,844.16 × 1,532.49
  4. Step 4: Simplify right side
    5,230.05x = 12,021,096.76
  5. Step 5: Solve for x
    x = 12,021,096.76/5,230.05
  6. Step 6: Final answer
    x = 2,298.47

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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.