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Finding the Fourth Proportional to 4,099.92, 6,151.11 and 1,909.95

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Solution

The fourth proportional to 4,099.92, 6,151.11 and 1,909.95 is: 2,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.92 : 6,151.11 = 1,909.95 : x
  2. Step 2: Convert to fraction form
    4,099.92/6,151.11 = 1,909.95/x
  3. Step 3: Cross multiply
    4,099.92x = 6,151.11 × 1,909.95
  4. Step 4: Simplify right side
    4,099.92x = 11,748,312.54
  5. Step 5: Solve for x
    x = 11,748,312.54/4,099.92
  6. Step 6: Final answer
    x = 2,865.50

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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.