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Finding the Fourth Proportional to 3,918.02, 5,406.86 and 2,149.63

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Solution

The fourth proportional to 3,918.02, 5,406.86 and 2,149.63 is: 2,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.02 : 5,406.86 = 2,149.63 : x
  2. Step 2: Convert to fraction form
    3,918.02/5,406.86 = 2,149.63/x
  3. Step 3: Cross multiply
    3,918.02x = 5,406.86 × 2,149.63
  4. Step 4: Simplify right side
    3,918.02x = 11,622,748.46
  5. Step 5: Solve for x
    x = 11,622,748.46/3,918.02
  6. Step 6: Final answer
    x = 2,966.49

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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.