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Finding the Fourth Proportional to 3,656.87, 5,046.47 and 1,978.25

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Solution

The fourth proportional to 3,656.87, 5,046.47 and 1,978.25 is: 2,729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.87 : 5,046.47 = 1,978.25 : x
  2. Step 2: Convert to fraction form
    3,656.87/5,046.47 = 1,978.25/x
  3. Step 3: Cross multiply
    3,656.87x = 5,046.47 × 1,978.25
  4. Step 4: Simplify right side
    3,656.87x = 9,983,169.39
  5. Step 5: Solve for x
    x = 9,983,169.39/3,656.87
  6. Step 6: Final answer
    x = 2,729.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.