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Finding the Fourth Proportional to 5,916.66, 8,162.37 and 4,147.62

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Solution

The fourth proportional to 5,916.66, 8,162.37 and 4,147.62 is: 5,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.66 : 8,162.37 = 4,147.62 : x
  2. Step 2: Convert to fraction form
    5,916.66/8,162.37 = 4,147.62/x
  3. Step 3: Cross multiply
    5,916.66x = 8,162.37 × 4,147.62
  4. Step 4: Simplify right side
    5,916.66x = 33,854,409.06
  5. Step 5: Solve for x
    x = 33,854,409.06/5,916.66
  6. Step 6: Final answer
    x = 5,721.88

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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.