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Finding the Fourth Proportional to 3,454.56, 5,182.08 and 3,046.56

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Solution

The fourth proportional to 3,454.56, 5,182.08 and 3,046.56 is: 4,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.56 : 5,182.08 = 3,046.56 : x
  2. Step 2: Convert to fraction form
    3,454.56/5,182.08 = 3,046.56/x
  3. Step 3: Cross multiply
    3,454.56x = 5,182.08 × 3,046.56
  4. Step 4: Simplify right side
    3,454.56x = 15,787,517.64
  5. Step 5: Solve for x
    x = 15,787,517.64/3,454.56
  6. Step 6: Final answer
    x = 4,570.05

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Why These Related Problems?

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