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Finding the Fourth Proportional to 5,916.75, 8,166.62 and 3,648.95

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Solution

The fourth proportional to 5,916.75, 8,166.62 and 3,648.95 is: 5,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.75 : 8,166.62 = 3,648.95 : x
  2. Step 2: Convert to fraction form
    5,916.75/8,166.62 = 3,648.95/x
  3. Step 3: Cross multiply
    5,916.75x = 8,166.62 × 3,648.95
  4. Step 4: Simplify right side
    5,916.75x = 29,799,586.96
  5. Step 5: Solve for x
    x = 29,799,586.96/5,916.75
  6. Step 6: Final answer
    x = 5,036.48

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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.