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Finding the Fourth Proportional to 3,420.42, 5,120.78 and 3,064.26

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Solution

The fourth proportional to 3,420.42, 5,120.78 and 3,064.26 is: 4,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.42 : 5,120.78 = 3,064.26 : x
  2. Step 2: Convert to fraction form
    3,420.42/5,120.78 = 3,064.26/x
  3. Step 3: Cross multiply
    3,420.42x = 5,120.78 × 3,064.26
  4. Step 4: Simplify right side
    3,420.42x = 15,691,401.32
  5. Step 5: Solve for x
    x = 15,691,401.32/3,420.42
  6. Step 6: Final answer
    x = 4,587.57

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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.