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Finding the Fourth Proportional to 3,478.67, 5,218.06 and 1,013.62

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Solution

The fourth proportional to 3,478.67, 5,218.06 and 1,013.62 is: 1,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.67 : 5,218.06 = 1,013.62 : x
  2. Step 2: Convert to fraction form
    3,478.67/5,218.06 = 1,013.62/x
  3. Step 3: Cross multiply
    3,478.67x = 5,218.06 × 1,013.62
  4. Step 4: Simplify right side
    3,478.67x = 5,289,130.09
  5. Step 5: Solve for x
    x = 5,289,130.09/3,478.67
  6. Step 6: Final answer
    x = 1,520.45

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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.