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Finding the Fourth Proportional to 3,689.39, 5,534.64 and 1,317.29

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Solution

The fourth proportional to 3,689.39, 5,534.64 and 1,317.29 is: 1,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.39 : 5,534.64 = 1,317.29 : x
  2. Step 2: Convert to fraction form
    3,689.39/5,534.64 = 1,317.29/x
  3. Step 3: Cross multiply
    3,689.39x = 5,534.64 × 1,317.29
  4. Step 4: Simplify right side
    3,689.39x = 7,290,725.93
  5. Step 5: Solve for x
    x = 7,290,725.93/3,689.39
  6. Step 6: Final answer
    x = 1,976.13

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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.