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Finding the Fourth Proportional to 3,712.74, 5,123.59 and 2,140.83

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Solution

The fourth proportional to 3,712.74, 5,123.59 and 2,140.83 is: 2,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.74 : 5,123.59 = 2,140.83 : x
  2. Step 2: Convert to fraction form
    3,712.74/5,123.59 = 2,140.83/x
  3. Step 3: Cross multiply
    3,712.74x = 5,123.59 × 2,140.83
  4. Step 4: Simplify right side
    3,712.74x = 10,968,729.83
  5. Step 5: Solve for x
    x = 10,968,729.83/3,712.74
  6. Step 6: Final answer
    x = 2,954.35

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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.