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Finding the Fourth Proportional to 3,788.16, 5,678.28 and 1,447.80

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Solution

The fourth proportional to 3,788.16, 5,678.28 and 1,447.80 is: 2,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.16 : 5,678.28 = 1,447.80 : x
  2. Step 2: Convert to fraction form
    3,788.16/5,678.28 = 1,447.80/x
  3. Step 3: Cross multiply
    3,788.16x = 5,678.28 × 1,447.80
  4. Step 4: Simplify right side
    3,788.16x = 8,221,013.78
  5. Step 5: Solve for x
    x = 8,221,013.78/3,788.16
  6. Step 6: Final answer
    x = 2,170.19

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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.