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Finding the Fourth Proportional to 5,902.47, 8,134.43 and 4,406.81

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Solution

The fourth proportional to 5,902.47, 8,134.43 and 4,406.81 is: 6,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.47 : 8,134.43 = 4,406.81 : x
  2. Step 2: Convert to fraction form
    5,902.47/8,134.43 = 4,406.81/x
  3. Step 3: Cross multiply
    5,902.47x = 8,134.43 × 4,406.81
  4. Step 4: Simplify right side
    5,902.47x = 35,846,824.76
  5. Step 5: Solve for x
    x = 35,846,824.76/5,902.47
  6. Step 6: Final answer
    x = 6,073.19

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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.