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Finding the Fourth Proportional to 5,146.29, 7,101.87 and 2,788.44

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Solution

The fourth proportional to 5,146.29, 7,101.87 and 2,788.44 is: 3,848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.29 : 7,101.87 = 2,788.44 : x
  2. Step 2: Convert to fraction form
    5,146.29/7,101.87 = 2,788.44/x
  3. Step 3: Cross multiply
    5,146.29x = 7,101.87 × 2,788.44
  4. Step 4: Simplify right side
    5,146.29x = 19,803,138.38
  5. Step 5: Solve for x
    x = 19,803,138.38/5,146.29
  6. Step 6: Final answer
    x = 3,848.04

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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.