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Finding the Fourth Proportional to 3,657.52, 5,488.62 and 2,014.12

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Solution

The fourth proportional to 3,657.52, 5,488.62 and 2,014.12 is: 3,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.52 : 5,488.62 = 2,014.12 : x
  2. Step 2: Convert to fraction form
    3,657.52/5,488.62 = 2,014.12/x
  3. Step 3: Cross multiply
    3,657.52x = 5,488.62 × 2,014.12
  4. Step 4: Simplify right side
    3,657.52x = 11,054,739.31
  5. Step 5: Solve for x
    x = 11,054,739.31/3,657.52
  6. Step 6: Final answer
    x = 3,022.47

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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.