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Finding the Fourth Proportional to 3,134.35, 4,701.53 and 2,821.15

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Solution

The fourth proportional to 3,134.35, 4,701.53 and 2,821.15 is: 4,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.35 : 4,701.53 = 2,821.15 : x
  2. Step 2: Convert to fraction form
    3,134.35/4,701.53 = 2,821.15/x
  3. Step 3: Cross multiply
    3,134.35x = 4,701.53 × 2,821.15
  4. Step 4: Simplify right side
    3,134.35x = 13,263,707.25
  5. Step 5: Solve for x
    x = 13,263,707.25/3,134.35
  6. Step 6: Final answer
    x = 4,231.73

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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.