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Finding the Fourth Proportional to 3,439.71, 4,746.78 and 1,867.82

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Solution

The fourth proportional to 3,439.71, 4,746.78 and 1,867.82 is: 2,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.71 : 4,746.78 = 1,867.82 : x
  2. Step 2: Convert to fraction form
    3,439.71/4,746.78 = 1,867.82/x
  3. Step 3: Cross multiply
    3,439.71x = 4,746.78 × 1,867.82
  4. Step 4: Simplify right side
    3,439.71x = 8,866,106.89
  5. Step 5: Solve for x
    x = 8,866,106.89/3,439.71
  6. Step 6: Final answer
    x = 2,577.57

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1.5x scale

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.