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Finding the Fourth Proportional to 3,657.10, 5,482.05 and 1,806.70

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Solution

The fourth proportional to 3,657.10, 5,482.05 and 1,806.70 is: 2,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.10 : 5,482.05 = 1,806.70 : x
  2. Step 2: Convert to fraction form
    3,657.10/5,482.05 = 1,806.70/x
  3. Step 3: Cross multiply
    3,657.10x = 5,482.05 × 1,806.70
  4. Step 4: Simplify right side
    3,657.10x = 9,904,419.74
  5. Step 5: Solve for x
    x = 9,904,419.74/3,657.10
  6. Step 6: Final answer
    x = 2,708.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.