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Finding the Fourth Proportional to 5,531.52, 8,297.01 and 2,068.50

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Solution

The fourth proportional to 5,531.52, 8,297.01 and 2,068.50 is: 3,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.52 : 8,297.01 = 2,068.50 : x
  2. Step 2: Convert to fraction form
    5,531.52/8,297.01 = 2,068.50/x
  3. Step 3: Cross multiply
    5,531.52x = 8,297.01 × 2,068.50
  4. Step 4: Simplify right side
    5,531.52x = 17,162,365.19
  5. Step 5: Solve for x
    x = 17,162,365.19/5,531.52
  6. Step 6: Final answer
    x = 3,102.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.