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Finding the Fourth Proportional to 3,900.96, 5,862.05 and 2,052.95

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Solution

The fourth proportional to 3,900.96, 5,862.05 and 2,052.95 is: 3,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.96 : 5,862.05 = 2,052.95 : x
  2. Step 2: Convert to fraction form
    3,900.96/5,862.05 = 2,052.95/x
  3. Step 3: Cross multiply
    3,900.96x = 5,862.05 × 2,052.95
  4. Step 4: Simplify right side
    3,900.96x = 12,034,455.97
  5. Step 5: Solve for x
    x = 12,034,455.97/3,900.96
  6. Step 6: Final answer
    x = 3,085.00

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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.