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Finding the Fourth Proportional to 3,478.01, 5,216.99 and 1,139.60

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Solution

The fourth proportional to 3,478.01, 5,216.99 and 1,139.60 is: 1,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.01 : 5,216.99 = 1,139.60 : x
  2. Step 2: Convert to fraction form
    3,478.01/5,216.99 = 1,139.60/x
  3. Step 3: Cross multiply
    3,478.01x = 5,216.99 × 1,139.60
  4. Step 4: Simplify right side
    3,478.01x = 5,945,289.15
  5. Step 5: Solve for x
    x = 5,945,289.15/3,478.01
  6. Step 6: Final answer
    x = 1,709.40

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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.