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Finding the Fourth Proportional to 3,854.76, 5,319.48 and 2,282.88

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Solution

The fourth proportional to 3,854.76, 5,319.48 and 2,282.88 is: 3,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.76 : 5,319.48 = 2,282.88 : x
  2. Step 2: Convert to fraction form
    3,854.76/5,319.48 = 2,282.88/x
  3. Step 3: Cross multiply
    3,854.76x = 5,319.48 × 2,282.88
  4. Step 4: Simplify right side
    3,854.76x = 12,143,734.50
  5. Step 5: Solve for x
    x = 12,143,734.50/3,854.76
  6. Step 6: Final answer
    x = 3,150.32

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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.