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Finding the Fourth Proportional to 4,218.97, 5,822.16 and 2,330.68

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Solution

The fourth proportional to 4,218.97, 5,822.16 and 2,330.68 is: 3,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.97 : 5,822.16 = 2,330.68 : x
  2. Step 2: Convert to fraction form
    4,218.97/5,822.16 = 2,330.68/x
  3. Step 3: Cross multiply
    4,218.97x = 5,822.16 × 2,330.68
  4. Step 4: Simplify right side
    4,218.97x = 13,569,565.66
  5. Step 5: Solve for x
    x = 13,569,565.66/4,218.97
  6. Step 6: Final answer
    x = 3,216.32

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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.