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Finding the Fourth Proportional to 4,102.52, 5,648.44 and 3,578.36

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Solution

The fourth proportional to 4,102.52, 5,648.44 and 3,578.36 is: 4,926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.52 : 5,648.44 = 3,578.36 : x
  2. Step 2: Convert to fraction form
    4,102.52/5,648.44 = 3,578.36/x
  3. Step 3: Cross multiply
    4,102.52x = 5,648.44 × 3,578.36
  4. Step 4: Simplify right side
    4,102.52x = 20,212,151.76
  5. Step 5: Solve for x
    x = 20,212,151.76/4,102.52
  6. Step 6: Final answer
    x = 4,926.76

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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.