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Finding the Fourth Proportional to 3,531.67, 5,300.24 and 1,778.42

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Solution

The fourth proportional to 3,531.67, 5,300.24 and 1,778.42 is: 2,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.67 : 5,300.24 = 1,778.42 : x
  2. Step 2: Convert to fraction form
    3,531.67/5,300.24 = 1,778.42/x
  3. Step 3: Cross multiply
    3,531.67x = 5,300.24 × 1,778.42
  4. Step 4: Simplify right side
    3,531.67x = 9,426,057.18
  5. Step 5: Solve for x
    x = 9,426,057.18/3,531.67
  6. Step 6: Final answer
    x = 2,669.01

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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.