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Finding the Fourth Proportional to 4,242.42, 5,854.07 and 2,353.95

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Solution

The fourth proportional to 4,242.42, 5,854.07 and 2,353.95 is: 3,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.42 : 5,854.07 = 2,353.95 : x
  2. Step 2: Convert to fraction form
    4,242.42/5,854.07 = 2,353.95/x
  3. Step 3: Cross multiply
    4,242.42x = 5,854.07 × 2,353.95
  4. Step 4: Simplify right side
    4,242.42x = 13,780,176.31
  5. Step 5: Solve for x
    x = 13,780,176.31/4,242.42
  6. Step 6: Final answer
    x = 3,248.19

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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.