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Finding the Fourth Proportional to 3,655.81, 5,479.04 and 2,096.66

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Solution

The fourth proportional to 3,655.81, 5,479.04 and 2,096.66 is: 3,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.81 : 5,479.04 = 2,096.66 : x
  2. Step 2: Convert to fraction form
    3,655.81/5,479.04 = 2,096.66/x
  3. Step 3: Cross multiply
    3,655.81x = 5,479.04 × 2,096.66
  4. Step 4: Simplify right side
    3,655.81x = 11,487,702.95
  5. Step 5: Solve for x
    x = 11,487,702.95/3,655.81
  6. Step 6: Final answer
    x = 3,142.32

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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.