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Finding the Fourth Proportional to 4,138.78, 5,710.62 and 3,019.98

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Solution

The fourth proportional to 4,138.78, 5,710.62 and 3,019.98 is: 4,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.78 : 5,710.62 = 3,019.98 : x
  2. Step 2: Convert to fraction form
    4,138.78/5,710.62 = 3,019.98/x
  3. Step 3: Cross multiply
    4,138.78x = 5,710.62 × 3,019.98
  4. Step 4: Simplify right side
    4,138.78x = 17,245,958.19
  5. Step 5: Solve for x
    x = 17,245,958.19/4,138.78
  6. Step 6: Final answer
    x = 4,166.92

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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.