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Finding the Fourth Proportional to 3,086.59, 4,631.19 and 1,138.32

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Solution

The fourth proportional to 3,086.59, 4,631.19 and 1,138.32 is: 1,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.59 : 4,631.19 = 1,138.32 : x
  2. Step 2: Convert to fraction form
    3,086.59/4,631.19 = 1,138.32/x
  3. Step 3: Cross multiply
    3,086.59x = 4,631.19 × 1,138.32
  4. Step 4: Simplify right side
    3,086.59x = 5,271,776.20
  5. Step 5: Solve for x
    x = 5,271,776.20/3,086.59
  6. Step 6: Final answer
    x = 1,707.96

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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.