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Finding the Fourth Proportional to 5,396.52, 7,443.99 and 3,297

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Solution

The fourth proportional to 5,396.52, 7,443.99 and 3,297 is: 4,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.52 : 7,443.99 = 3,297 : x
  2. Step 2: Convert to fraction form
    5,396.52/7,443.99 = 3,297/x
  3. Step 3: Cross multiply
    5,396.52x = 7,443.99 × 3,297
  4. Step 4: Simplify right side
    5,396.52x = 24,542,835.03
  5. Step 5: Solve for x
    x = 24,542,835.03/5,396.52
  6. Step 6: Final answer
    x = 4,547.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.