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Finding the Fourth Proportional to 3,427.01, 5,140.85 and 1,347.20

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Solution

The fourth proportional to 3,427.01, 5,140.85 and 1,347.20 is: 2,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.01 : 5,140.85 = 1,347.20 : x
  2. Step 2: Convert to fraction form
    3,427.01/5,140.85 = 1,347.20/x
  3. Step 3: Cross multiply
    3,427.01x = 5,140.85 × 1,347.20
  4. Step 4: Simplify right side
    3,427.01x = 6,925,720.68
  5. Step 5: Solve for x
    x = 6,925,720.68/3,427.01
  6. Step 6: Final answer
    x = 2,020.93

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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.