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Finding the Fourth Proportional to 3,708.60, 5,119 and 2,292.72

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Solution

The fourth proportional to 3,708.60, 5,119 and 2,292.72 is: 3,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.60 : 5,119 = 2,292.72 : x
  2. Step 2: Convert to fraction form
    3,708.60/5,119 = 2,292.72/x
  3. Step 3: Cross multiply
    3,708.60x = 5,119 × 2,292.72
  4. Step 4: Simplify right side
    3,708.60x = 11,736,433.68
  5. Step 5: Solve for x
    x = 11,736,433.68/3,708.60
  6. Step 6: Final answer
    x = 3,164.65

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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.