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Finding the Fourth Proportional to 3,918.07, 5,407.00 and 2,149.69

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Solution

The fourth proportional to 3,918.07, 5,407.00 and 2,149.69 is: 2,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.07 : 5,407.00 = 2,149.69 : x
  2. Step 2: Convert to fraction form
    3,918.07/5,407.00 = 2,149.69/x
  3. Step 3: Cross multiply
    3,918.07x = 5,407.00 × 2,149.69
  4. Step 4: Simplify right side
    3,918.07x = 11,623,377.17
  5. Step 5: Solve for x
    x = 11,623,377.17/3,918.07
  6. Step 6: Final answer
    x = 2,966.61

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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.