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Finding the Fourth Proportional to 4,959.92, 7,432.20 and 2,035.76

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Solution

The fourth proportional to 4,959.92, 7,432.20 and 2,035.76 is: 3,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.92 : 7,432.20 = 2,035.76 : x
  2. Step 2: Convert to fraction form
    4,959.92/7,432.20 = 2,035.76/x
  3. Step 3: Cross multiply
    4,959.92x = 7,432.20 × 2,035.76
  4. Step 4: Simplify right side
    4,959.92x = 15,130,175.47
  5. Step 5: Solve for x
    x = 15,130,175.47/4,959.92
  6. Step 6: Final answer
    x = 3,050.49

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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.