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Finding the Fourth Proportional to 3,419.12, 5,121.78 and 3,242

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Solution

The fourth proportional to 3,419.12, 5,121.78 and 3,242 is: 4,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.12 : 5,121.78 = 3,242 : x
  2. Step 2: Convert to fraction form
    3,419.12/5,121.78 = 3,242/x
  3. Step 3: Cross multiply
    3,419.12x = 5,121.78 × 3,242
  4. Step 4: Simplify right side
    3,419.12x = 16,604,810.76
  5. Step 5: Solve for x
    x = 16,604,810.76/3,419.12
  6. Step 6: Final answer
    x = 4,856.46

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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.