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Finding the Fourth Proportional to 5,902.09, 8,853.14 and 2,006.53

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Solution

The fourth proportional to 5,902.09, 8,853.14 and 2,006.53 is: 3,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.09 : 8,853.14 = 2,006.53 : x
  2. Step 2: Convert to fraction form
    5,902.09/8,853.14 = 2,006.53/x
  3. Step 3: Cross multiply
    5,902.09x = 8,853.14 × 2,006.53
  4. Step 4: Simplify right side
    5,902.09x = 17,764,073.89
  5. Step 5: Solve for x
    x = 17,764,073.89/5,902.09
  6. Step 6: Final answer
    x = 3,009.80

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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.