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Finding the Fourth Proportional to 5,149.65, 7,106.95 and 2,911.92

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Solution

The fourth proportional to 5,149.65, 7,106.95 and 2,911.92 is: 4,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.65 : 7,106.95 = 2,911.92 : x
  2. Step 2: Convert to fraction form
    5,149.65/7,106.95 = 2,911.92/x
  3. Step 3: Cross multiply
    5,149.65x = 7,106.95 × 2,911.92
  4. Step 4: Simplify right side
    5,149.65x = 20,694,869.84
  5. Step 5: Solve for x
    x = 20,694,869.84/5,149.65
  6. Step 6: Final answer
    x = 4,018.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.