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Finding the Fourth Proportional to 4,937.24, 7,404.78 and 1,473.68

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Solution

The fourth proportional to 4,937.24, 7,404.78 and 1,473.68 is: 2,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.24 : 7,404.78 = 1,473.68 : x
  2. Step 2: Convert to fraction form
    4,937.24/7,404.78 = 1,473.68/x
  3. Step 3: Cross multiply
    4,937.24x = 7,404.78 × 1,473.68
  4. Step 4: Simplify right side
    4,937.24x = 10,912,276.19
  5. Step 5: Solve for x
    x = 10,912,276.19/4,937.24
  6. Step 6: Final answer
    x = 2,210.20

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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.