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Finding the Fourth Proportional to 3,677.62, 5,483.46 and 3,612.02

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Solution

The fourth proportional to 3,677.62, 5,483.46 and 3,612.02 is: 5,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.62 : 5,483.46 = 3,612.02 : x
  2. Step 2: Convert to fraction form
    3,677.62/5,483.46 = 3,612.02/x
  3. Step 3: Cross multiply
    3,677.62x = 5,483.46 × 3,612.02
  4. Step 4: Simplify right side
    3,677.62x = 19,806,367.19
  5. Step 5: Solve for x
    x = 19,806,367.19/3,677.62
  6. Step 6: Final answer
    x = 5,385.65

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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.