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Finding the Fourth Proportional to 5,916.65, 8,162.39 and 3,897.45

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Solution

The fourth proportional to 5,916.65, 8,162.39 and 3,897.45 is: 5,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.65 : 8,162.39 = 3,897.45 : x
  2. Step 2: Convert to fraction form
    5,916.65/8,162.39 = 3,897.45/x
  3. Step 3: Cross multiply
    5,916.65x = 8,162.39 × 3,897.45
  4. Step 4: Simplify right side
    5,916.65x = 31,812,487.42
  5. Step 5: Solve for x
    x = 31,812,487.42/5,916.65
  6. Step 6: Final answer
    x = 5,376.78

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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.