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Finding the Fourth Proportional to 4,102.58, 5,663.48 and 2,778.42

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Solution

The fourth proportional to 4,102.58, 5,663.48 and 2,778.42 is: 3,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.58 : 5,663.48 = 2,778.42 : x
  2. Step 2: Convert to fraction form
    4,102.58/5,663.48 = 2,778.42/x
  3. Step 3: Cross multiply
    4,102.58x = 5,663.48 × 2,778.42
  4. Step 4: Simplify right side
    4,102.58x = 15,735,512.21
  5. Step 5: Solve for x
    x = 15,735,512.21/4,102.58
  6. Step 6: Final answer
    x = 3,835.52

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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.