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Finding the Fourth Proportional to 3,597.68, 5,398.68 and 1,289.36

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Solution

The fourth proportional to 3,597.68, 5,398.68 and 1,289.36 is: 1,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.68 : 5,398.68 = 1,289.36 : x
  2. Step 2: Convert to fraction form
    3,597.68/5,398.68 = 1,289.36/x
  3. Step 3: Cross multiply
    3,597.68x = 5,398.68 × 1,289.36
  4. Step 4: Simplify right side
    3,597.68x = 6,960,842.04
  5. Step 5: Solve for x
    x = 6,960,842.04/3,597.68
  6. Step 6: Final answer
    x = 1,934.81

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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.