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Finding the Fourth Proportional to 3,773.06, 5,652.85 and 2,014.34

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Solution

The fourth proportional to 3,773.06, 5,652.85 and 2,014.34 is: 3,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.06 : 5,652.85 = 2,014.34 : x
  2. Step 2: Convert to fraction form
    3,773.06/5,652.85 = 2,014.34/x
  3. Step 3: Cross multiply
    3,773.06x = 5,652.85 × 2,014.34
  4. Step 4: Simplify right side
    3,773.06x = 11,386,761.87
  5. Step 5: Solve for x
    x = 11,386,761.87/3,773.06
  6. Step 6: Final answer
    x = 3,017.91

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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.