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Finding the Fourth Proportional to 3,521.52, 5,282.34 and 3,307.68

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Solution

The fourth proportional to 3,521.52, 5,282.34 and 3,307.68 is: 4,961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.52 : 5,282.34 = 3,307.68 : x
  2. Step 2: Convert to fraction form
    3,521.52/5,282.34 = 3,307.68/x
  3. Step 3: Cross multiply
    3,521.52x = 5,282.34 × 3,307.68
  4. Step 4: Simplify right side
    3,521.52x = 17,472,290.37
  5. Step 5: Solve for x
    x = 17,472,290.37/3,521.52
  6. Step 6: Final answer
    x = 4,961.58

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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.