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Finding the Fourth Proportional to 5,902.96, 8,129.28 and 5,885.16

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Solution

The fourth proportional to 5,902.96, 8,129.28 and 5,885.16 is: 8,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.96 : 8,129.28 = 5,885.16 : x
  2. Step 2: Convert to fraction form
    5,902.96/8,129.28 = 5,885.16/x
  3. Step 3: Cross multiply
    5,902.96x = 8,129.28 × 5,885.16
  4. Step 4: Simplify right side
    5,902.96x = 47,842,113.48
  5. Step 5: Solve for x
    x = 47,842,113.48/5,902.96
  6. Step 6: Final answer
    x = 8,104.77

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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.