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Finding the Fourth Proportional to 3,439.50, 4,746.38 and 1,867.56

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Solution

The fourth proportional to 3,439.50, 4,746.38 and 1,867.56 is: 2,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.50 : 4,746.38 = 1,867.56 : x
  2. Step 2: Convert to fraction form
    3,439.50/4,746.38 = 1,867.56/x
  3. Step 3: Cross multiply
    3,439.50x = 4,746.38 × 1,867.56
  4. Step 4: Simplify right side
    3,439.50x = 8,864,149.43
  5. Step 5: Solve for x
    x = 8,864,149.43/3,439.50
  6. Step 6: Final answer
    x = 2,577.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.