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Finding the Fourth Proportional to 3,657.89, 5,486.35 and 1,466.65

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Solution

The fourth proportional to 3,657.89, 5,486.35 and 1,466.65 is: 2,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.89 : 5,486.35 = 1,466.65 : x
  2. Step 2: Convert to fraction form
    3,657.89/5,486.35 = 1,466.65/x
  3. Step 3: Cross multiply
    3,657.89x = 5,486.35 × 1,466.65
  4. Step 4: Simplify right side
    3,657.89x = 8,046,555.23
  5. Step 5: Solve for x
    x = 8,046,555.23/3,657.89
  6. Step 6: Final answer
    x = 2,199.78

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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.