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Finding the Fourth Proportional to 5,905.29, 8,142.54 and 4,410.69

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Solution

The fourth proportional to 5,905.29, 8,142.54 and 4,410.69 is: 6,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.29 : 8,142.54 = 4,410.69 : x
  2. Step 2: Convert to fraction form
    5,905.29/8,142.54 = 4,410.69/x
  3. Step 3: Cross multiply
    5,905.29x = 8,142.54 × 4,410.69
  4. Step 4: Simplify right side
    5,905.29x = 35,914,219.75
  5. Step 5: Solve for x
    x = 35,914,219.75/5,905.29
  6. Step 6: Final answer
    x = 6,081.70

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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.