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Finding the Fourth Proportional to 3,353.78, 5,030.46 and 1,013.66

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Solution

The fourth proportional to 3,353.78, 5,030.46 and 1,013.66 is: 1,520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.78 : 5,030.46 = 1,013.66 : x
  2. Step 2: Convert to fraction form
    3,353.78/5,030.46 = 1,013.66/x
  3. Step 3: Cross multiply
    3,353.78x = 5,030.46 × 1,013.66
  4. Step 4: Simplify right side
    3,353.78x = 5,099,176.08
  5. Step 5: Solve for x
    x = 5,099,176.08/3,353.78
  6. Step 6: Final answer
    x = 1,520.43

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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.