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Finding the Fourth Proportional to 3,866.46, 5,335.26 and 2,294.28

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Solution

The fourth proportional to 3,866.46, 5,335.26 and 2,294.28 is: 3,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.46 : 5,335.26 = 2,294.28 : x
  2. Step 2: Convert to fraction form
    3,866.46/5,335.26 = 2,294.28/x
  3. Step 3: Cross multiply
    3,866.46x = 5,335.26 × 2,294.28
  4. Step 4: Simplify right side
    3,866.46x = 12,240,580.31
  5. Step 5: Solve for x
    x = 12,240,580.31/3,866.46
  6. Step 6: Final answer
    x = 3,165.84

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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.