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Finding the Fourth Proportional to 3,129.42, 4,294.74 and 2,834.16

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Solution

The fourth proportional to 3,129.42, 4,294.74 and 2,834.16 is: 3,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.42 : 4,294.74 = 2,834.16 : x
  2. Step 2: Convert to fraction form
    3,129.42/4,294.74 = 2,834.16/x
  3. Step 3: Cross multiply
    3,129.42x = 4,294.74 × 2,834.16
  4. Step 4: Simplify right side
    3,129.42x = 12,171,980.32
  5. Step 5: Solve for x
    x = 12,171,980.32/3,129.42
  6. Step 6: Final answer
    x = 3,889.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.