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Finding the Fourth Proportional to 3,986.32, 6,002.65 and 2,953.66

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Solution

The fourth proportional to 3,986.32, 6,002.65 and 2,953.66 is: 4,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.32 : 6,002.65 = 2,953.66 : x
  2. Step 2: Convert to fraction form
    3,986.32/6,002.65 = 2,953.66/x
  3. Step 3: Cross multiply
    3,986.32x = 6,002.65 × 2,953.66
  4. Step 4: Simplify right side
    3,986.32x = 17,729,787.20
  5. Step 5: Solve for x
    x = 17,729,787.20/3,986.32
  6. Step 6: Final answer
    x = 4,447.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.