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Finding the Fourth Proportional to 3,597.35, 5,396.49 and 1,132.25

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Solution

The fourth proportional to 3,597.35, 5,396.49 and 1,132.25 is: 1,698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.35 : 5,396.49 = 1,132.25 : x
  2. Step 2: Convert to fraction form
    3,597.35/5,396.49 = 1,132.25/x
  3. Step 3: Cross multiply
    3,597.35x = 5,396.49 × 1,132.25
  4. Step 4: Simplify right side
    3,597.35x = 6,110,148.82
  5. Step 5: Solve for x
    x = 6,110,148.82/3,597.35
  6. Step 6: Final answer
    x = 1,698.52

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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.