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Finding the Fourth Proportional to 2,752.59, 3,800.04 and 2,121.75

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Solution

The fourth proportional to 2,752.59, 3,800.04 and 2,121.75 is: 2,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.59 : 3,800.04 = 2,121.75 : x
  2. Step 2: Convert to fraction form
    2,752.59/3,800.04 = 2,121.75/x
  3. Step 3: Cross multiply
    2,752.59x = 3,800.04 × 2,121.75
  4. Step 4: Simplify right side
    2,752.59x = 8,062,734.87
  5. Step 5: Solve for x
    x = 8,062,734.87/2,752.59
  6. Step 6: Final answer
    x = 2,929.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.