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Finding the Fourth Proportional to 4,962.42, 7,443.66 and 1,499.70

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Solution

The fourth proportional to 4,962.42, 7,443.66 and 1,499.70 is: 2,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.42 : 7,443.66 = 1,499.70 : x
  2. Step 2: Convert to fraction form
    4,962.42/7,443.66 = 1,499.70/x
  3. Step 3: Cross multiply
    4,962.42x = 7,443.66 × 1,499.70
  4. Step 4: Simplify right side
    4,962.42x = 11,163,256.90
  5. Step 5: Solve for x
    x = 11,163,256.90/4,962.42
  6. Step 6: Final answer
    x = 2,249.56

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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.