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Finding the Fourth Proportional to 3,843.79, 5,302.46 and 2,584.98

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Solution

The fourth proportional to 3,843.79, 5,302.46 and 2,584.98 is: 3,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.79 : 5,302.46 = 2,584.98 : x
  2. Step 2: Convert to fraction form
    3,843.79/5,302.46 = 2,584.98/x
  3. Step 3: Cross multiply
    3,843.79x = 5,302.46 × 2,584.98
  4. Step 4: Simplify right side
    3,843.79x = 13,706,759.51
  5. Step 5: Solve for x
    x = 13,706,759.51/3,843.79
  6. Step 6: Final answer
    x = 3,565.95

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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.