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Finding the Fourth Proportional to 3,637.19, 5,456.31 and 1,171.19

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Solution

The fourth proportional to 3,637.19, 5,456.31 and 1,171.19 is: 1,756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.19 : 5,456.31 = 1,171.19 : x
  2. Step 2: Convert to fraction form
    3,637.19/5,456.31 = 1,171.19/x
  3. Step 3: Cross multiply
    3,637.19x = 5,456.31 × 1,171.19
  4. Step 4: Simplify right side
    3,637.19x = 6,390,342.57
  5. Step 5: Solve for x
    x = 6,390,342.57/3,637.19
  6. Step 6: Final answer
    x = 1,756.95

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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.