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Finding the Fourth Proportional to 3,478.19, 5,218.14 and 1,013.03

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Solution

The fourth proportional to 3,478.19, 5,218.14 and 1,013.03 is: 1,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.19 : 5,218.14 = 1,013.03 : x
  2. Step 2: Convert to fraction form
    3,478.19/5,218.14 = 1,013.03/x
  3. Step 3: Cross multiply
    3,478.19x = 5,218.14 × 1,013.03
  4. Step 4: Simplify right side
    3,478.19x = 5,286,132.36
  5. Step 5: Solve for x
    x = 5,286,132.36/3,478.19
  6. Step 6: Final answer
    x = 1,519.79

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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.