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Finding the Fourth Proportional to 4,962.86, 7,443.07 and 1,451.95

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Solution

The fourth proportional to 4,962.86, 7,443.07 and 1,451.95 is: 2,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.86 : 7,443.07 = 1,451.95 : x
  2. Step 2: Convert to fraction form
    4,962.86/7,443.07 = 1,451.95/x
  3. Step 3: Cross multiply
    4,962.86x = 7,443.07 × 1,451.95
  4. Step 4: Simplify right side
    4,962.86x = 10,806,965.49
  5. Step 5: Solve for x
    x = 10,806,965.49/4,962.86
  6. Step 6: Final answer
    x = 2,177.57

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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.