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Finding the Fourth Proportional to 5,902.66, 8,146.34 and 3,666.66

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Solution

The fourth proportional to 5,902.66, 8,146.34 and 3,666.66 is: 5,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.66 : 8,146.34 = 3,666.66 : x
  2. Step 2: Convert to fraction form
    5,902.66/8,146.34 = 3,666.66/x
  3. Step 3: Cross multiply
    5,902.66x = 8,146.34 × 3,666.66
  4. Step 4: Simplify right side
    5,902.66x = 29,869,859.02
  5. Step 5: Solve for x
    x = 29,869,859.02/5,902.66
  6. Step 6: Final answer
    x = 5,060.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.