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Finding the Fourth Proportional to 3,427.01, 5,140.11 and 1,348.55

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Solution

The fourth proportional to 3,427.01, 5,140.11 and 1,348.55 is: 2,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.01 : 5,140.11 = 1,348.55 : x
  2. Step 2: Convert to fraction form
    3,427.01/5,140.11 = 1,348.55/x
  3. Step 3: Cross multiply
    3,427.01x = 5,140.11 × 1,348.55
  4. Step 4: Simplify right side
    3,427.01x = 6,931,695.34
  5. Step 5: Solve for x
    x = 6,931,695.34/3,427.01
  6. Step 6: Final answer
    x = 2,022.67

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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.