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Finding the Fourth Proportional to 4,282.18, 5,894.28 and 4,116.16

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Solution

The fourth proportional to 4,282.18, 5,894.28 and 4,116.16 is: 5,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.18 : 5,894.28 = 4,116.16 : x
  2. Step 2: Convert to fraction form
    4,282.18/5,894.28 = 4,116.16/x
  3. Step 3: Cross multiply
    4,282.18x = 5,894.28 × 4,116.16
  4. Step 4: Simplify right side
    4,282.18x = 24,261,799.56
  5. Step 5: Solve for x
    x = 24,261,799.56/4,282.18
  6. Step 6: Final answer
    x = 5,665.76

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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.