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Finding the Fourth Proportional to 3,875.60, 5,810.97 and 2,027.32

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Solution

The fourth proportional to 3,875.60, 5,810.97 and 2,027.32 is: 3,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.60 : 5,810.97 = 2,027.32 : x
  2. Step 2: Convert to fraction form
    3,875.60/5,810.97 = 2,027.32/x
  3. Step 3: Cross multiply
    3,875.60x = 5,810.97 × 2,027.32
  4. Step 4: Simplify right side
    3,875.60x = 11,780,695.70
  5. Step 5: Solve for x
    x = 11,780,695.70/3,875.60
  6. Step 6: Final answer
    x = 3,039.71

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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.