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Finding the Fourth Proportional to 3,949.47, 5,926.50 and 1,758.42

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Solution

The fourth proportional to 3,949.47, 5,926.50 and 1,758.42 is: 2,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.47 : 5,926.50 = 1,758.42 : x
  2. Step 2: Convert to fraction form
    3,949.47/5,926.50 = 1,758.42/x
  3. Step 3: Cross multiply
    3,949.47x = 5,926.50 × 1,758.42
  4. Step 4: Simplify right side
    3,949.47x = 10,421,276.13
  5. Step 5: Solve for x
    x = 10,421,276.13/3,949.47
  6. Step 6: Final answer
    x = 2,638.65

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