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Finding the Fourth Proportional to 3,657.80, 5,488.92 and 1,466.24

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Solution

The fourth proportional to 3,657.80, 5,488.92 and 1,466.24 is: 2,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.80 : 5,488.92 = 1,466.24 : x
  2. Step 2: Convert to fraction form
    3,657.80/5,488.92 = 1,466.24/x
  3. Step 3: Cross multiply
    3,657.80x = 5,488.92 × 1,466.24
  4. Step 4: Simplify right side
    3,657.80x = 8,048,074.06
  5. Step 5: Solve for x
    x = 8,048,074.06/3,657.80
  6. Step 6: Final answer
    x = 2,200.25

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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.