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Finding the Fourth Proportional to 3,397.86, 5,097.33 and 1,450.08

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Solution

The fourth proportional to 3,397.86, 5,097.33 and 1,450.08 is: 2,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.86 : 5,097.33 = 1,450.08 : x
  2. Step 2: Convert to fraction form
    3,397.86/5,097.33 = 1,450.08/x
  3. Step 3: Cross multiply
    3,397.86x = 5,097.33 × 1,450.08
  4. Step 4: Simplify right side
    3,397.86x = 7,391,536.29
  5. Step 5: Solve for x
    x = 7,391,536.29/3,397.86
  6. Step 6: Final answer
    x = 2,175.35

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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.