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Finding the Fourth Proportional to 3,680.88, 5,495.88 and 3,160.14

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Solution

The fourth proportional to 3,680.88, 5,495.88 and 3,160.14 is: 4,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.88 : 5,495.88 = 3,160.14 : x
  2. Step 2: Convert to fraction form
    3,680.88/5,495.88 = 3,160.14/x
  3. Step 3: Cross multiply
    3,680.88x = 5,495.88 × 3,160.14
  4. Step 4: Simplify right side
    3,680.88x = 17,367,750.22
  5. Step 5: Solve for x
    x = 17,367,750.22/3,680.88
  6. Step 6: Final answer
    x = 4,718.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.