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Finding the Fourth Proportional to 3,420.61, 5,140.53 and 2,034.19

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Solution

The fourth proportional to 3,420.61, 5,140.53 and 2,034.19 is: 3,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.61 : 5,140.53 = 2,034.19 : x
  2. Step 2: Convert to fraction form
    3,420.61/5,140.53 = 2,034.19/x
  3. Step 3: Cross multiply
    3,420.61x = 5,140.53 × 2,034.19
  4. Step 4: Simplify right side
    3,420.61x = 10,456,821.15
  5. Step 5: Solve for x
    x = 10,456,821.15/3,420.61
  6. Step 6: Final answer
    x = 3,057.01

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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.