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Finding the Fourth Proportional to 3,643.54, 5,464.98 and 1,451.68

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Solution

The fourth proportional to 3,643.54, 5,464.98 and 1,451.68 is: 2,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.54 : 5,464.98 = 1,451.68 : x
  2. Step 2: Convert to fraction form
    3,643.54/5,464.98 = 1,451.68/x
  3. Step 3: Cross multiply
    3,643.54x = 5,464.98 × 1,451.68
  4. Step 4: Simplify right side
    3,643.54x = 7,933,402.17
  5. Step 5: Solve for x
    x = 7,933,402.17/3,643.54
  6. Step 6: Final answer
    x = 2,177.39

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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.