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Finding the Fourth Proportional to 4,118.40, 6,170.40 and 3,542.40

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Solution

The fourth proportional to 4,118.40, 6,170.40 and 3,542.40 is: 5,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.40 : 6,170.40 = 3,542.40 : x
  2. Step 2: Convert to fraction form
    4,118.40/6,170.40 = 3,542.40/x
  3. Step 3: Cross multiply
    4,118.40x = 6,170.40 × 3,542.40
  4. Step 4: Simplify right side
    4,118.40x = 21,858,024.96
  5. Step 5: Solve for x
    x = 21,858,024.96/4,118.40
  6. Step 6: Final answer
    x = 5,307.41

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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.