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Finding the Fourth Proportional to 3,430.52, 5,147.12 and 3,158.09

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Solution

The fourth proportional to 3,430.52, 5,147.12 and 3,158.09 is: 4,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.52 : 5,147.12 = 3,158.09 : x
  2. Step 2: Convert to fraction form
    3,430.52/5,147.12 = 3,158.09/x
  3. Step 3: Cross multiply
    3,430.52x = 5,147.12 × 3,158.09
  4. Step 4: Simplify right side
    3,430.52x = 16,255,050.36
  5. Step 5: Solve for x
    x = 16,255,050.36/3,430.52
  6. Step 6: Final answer
    x = 4,738.37

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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.