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Finding the Fourth Proportional to 3,886.07, 5,824.94 and 1,542.83

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Solution

The fourth proportional to 3,886.07, 5,824.94 and 1,542.83 is: 2,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.07 : 5,824.94 = 1,542.83 : x
  2. Step 2: Convert to fraction form
    3,886.07/5,824.94 = 1,542.83/x
  3. Step 3: Cross multiply
    3,886.07x = 5,824.94 × 1,542.83
  4. Step 4: Simplify right side
    3,886.07x = 8,986,855.34
  5. Step 5: Solve for x
    x = 8,986,855.34/3,886.07
  6. Step 6: Final answer
    x = 2,312.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.