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Finding the Fourth Proportional to 5,862.14, 8,088.14 and 3,767.48

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Solution

The fourth proportional to 5,862.14, 8,088.14 and 3,767.48 is: 5,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.14 : 8,088.14 = 3,767.48 : x
  2. Step 2: Convert to fraction form
    5,862.14/8,088.14 = 3,767.48/x
  3. Step 3: Cross multiply
    5,862.14x = 8,088.14 × 3,767.48
  4. Step 4: Simplify right side
    5,862.14x = 30,471,846.41
  5. Step 5: Solve for x
    x = 30,471,846.41/5,862.14
  6. Step 6: Final answer
    x = 5,198.08

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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.