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Finding the Fourth Proportional to 5,531.06, 7,635.78 and 4,269.39

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Solution

The fourth proportional to 5,531.06, 7,635.78 and 4,269.39 is: 5,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.06 : 7,635.78 = 4,269.39 : x
  2. Step 2: Convert to fraction form
    5,531.06/7,635.78 = 4,269.39/x
  3. Step 3: Cross multiply
    5,531.06x = 7,635.78 × 4,269.39
  4. Step 4: Simplify right side
    5,531.06x = 32,600,122.77
  5. Step 5: Solve for x
    x = 32,600,122.77/5,531.06
  6. Step 6: Final answer
    x = 5,894.02

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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.