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Finding the Fourth Proportional to 3,344.98, 5,017.38 and 1,397.14

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Solution

The fourth proportional to 3,344.98, 5,017.38 and 1,397.14 is: 2,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.98 : 5,017.38 = 1,397.14 : x
  2. Step 2: Convert to fraction form
    3,344.98/5,017.38 = 1,397.14/x
  3. Step 3: Cross multiply
    3,344.98x = 5,017.38 × 1,397.14
  4. Step 4: Simplify right side
    3,344.98x = 7,009,982.29
  5. Step 5: Solve for x
    x = 7,009,982.29/3,344.98
  6. Step 6: Final answer
    x = 2,095.67

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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.