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Finding the Fourth Proportional to 3,171.42, 4,778.99 and 3,023.10

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Solution

The fourth proportional to 3,171.42, 4,778.99 and 3,023.10 is: 4,555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.42 : 4,778.99 = 3,023.10 : x
  2. Step 2: Convert to fraction form
    3,171.42/4,778.99 = 3,023.10/x
  3. Step 3: Cross multiply
    3,171.42x = 4,778.99 × 3,023.10
  4. Step 4: Simplify right side
    3,171.42x = 14,447,349.55
  5. Step 5: Solve for x
    x = 14,447,349.55/3,171.42
  6. Step 6: Final answer
    x = 4,555.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.