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Finding the Fourth Proportional to 5,916.63, 8,166.35 and 3,680.22

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Solution

The fourth proportional to 5,916.63, 8,166.35 and 3,680.22 is: 5,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.63 : 8,166.35 = 3,680.22 : x
  2. Step 2: Convert to fraction form
    5,916.63/8,166.35 = 3,680.22/x
  3. Step 3: Cross multiply
    5,916.63x = 8,166.35 × 3,680.22
  4. Step 4: Simplify right side
    5,916.63x = 30,053,964.60
  5. Step 5: Solve for x
    x = 30,053,964.60/5,916.63
  6. Step 6: Final answer
    x = 5,079.57

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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.