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Finding the Fourth Proportional to 3,859.68, 5,326.42 and 2,267.46

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Solution

The fourth proportional to 3,859.68, 5,326.42 and 2,267.46 is: 3,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.68 : 5,326.42 = 2,267.46 : x
  2. Step 2: Convert to fraction form
    3,859.68/5,326.42 = 2,267.46/x
  3. Step 3: Cross multiply
    3,859.68x = 5,326.42 × 2,267.46
  4. Step 4: Simplify right side
    3,859.68x = 12,077,444.29
  5. Step 5: Solve for x
    x = 12,077,444.29/3,859.68
  6. Step 6: Final answer
    x = 3,129.13

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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.