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Finding the Fourth Proportional to 3,712, 5,120.84 and 2,139.18

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Solution

The fourth proportional to 3,712, 5,120.84 and 2,139.18 is: 2,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712 : 5,120.84 = 2,139.18 : x
  2. Step 2: Convert to fraction form
    3,712/5,120.84 = 2,139.18/x
  3. Step 3: Cross multiply
    3,712x = 5,120.84 × 2,139.18
  4. Step 4: Simplify right side
    3,712x = 10,954,398.51
  5. Step 5: Solve for x
    x = 10,954,398.51/3,712
  6. Step 6: Final answer
    x = 2,951.08

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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.