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Finding the Fourth Proportional to 3,525.24, 4,865.90 and 2,034.13

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Solution

The fourth proportional to 3,525.24, 4,865.90 and 2,034.13 is: 2,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.24 : 4,865.90 = 2,034.13 : x
  2. Step 2: Convert to fraction form
    3,525.24/4,865.90 = 2,034.13/x
  3. Step 3: Cross multiply
    3,525.24x = 4,865.90 × 2,034.13
  4. Step 4: Simplify right side
    3,525.24x = 9,897,865.68
  5. Step 5: Solve for x
    x = 9,897,865.68/3,525.24
  6. Step 6: Final answer
    x = 2,807.72

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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.