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Finding the Fourth Proportional to 3,138.85, 4,708.16 and 1,290.06

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Solution

The fourth proportional to 3,138.85, 4,708.16 and 1,290.06 is: 1,935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.85 : 4,708.16 = 1,290.06 : x
  2. Step 2: Convert to fraction form
    3,138.85/4,708.16 = 1,290.06/x
  3. Step 3: Cross multiply
    3,138.85x = 4,708.16 × 1,290.06
  4. Step 4: Simplify right side
    3,138.85x = 6,073,807.28
  5. Step 5: Solve for x
    x = 6,073,807.28/3,138.85
  6. Step 6: Final answer
    x = 1,935.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.