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Finding the Fourth Proportional to 3,950.30, 5,927.72 and 2,002.66

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Solution

The fourth proportional to 3,950.30, 5,927.72 and 2,002.66 is: 3,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.30 : 5,927.72 = 2,002.66 : x
  2. Step 2: Convert to fraction form
    3,950.30/5,927.72 = 2,002.66/x
  3. Step 3: Cross multiply
    3,950.30x = 5,927.72 × 2,002.66
  4. Step 4: Simplify right side
    3,950.30x = 11,871,182.90
  5. Step 5: Solve for x
    x = 11,871,182.90/3,950.30
  6. Step 6: Final answer
    x = 3,005.13

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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.