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Finding the Fourth Proportional to 3,410.08, 5,113.28 and 1,559.10

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Solution

The fourth proportional to 3,410.08, 5,113.28 and 1,559.10 is: 2,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.08 : 5,113.28 = 1,559.10 : x
  2. Step 2: Convert to fraction form
    3,410.08/5,113.28 = 1,559.10/x
  3. Step 3: Cross multiply
    3,410.08x = 5,113.28 × 1,559.10
  4. Step 4: Simplify right side
    3,410.08x = 7,972,114.85
  5. Step 5: Solve for x
    x = 7,972,114.85/3,410.08
  6. Step 6: Final answer
    x = 2,337.81

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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.