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Finding the Fourth Proportional to 5,262.77, 7,258.41 and 3,269.57

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Solution

The fourth proportional to 5,262.77, 7,258.41 and 3,269.57 is: 4,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.77 : 7,258.41 = 3,269.57 : x
  2. Step 2: Convert to fraction form
    5,262.77/7,258.41 = 3,269.57/x
  3. Step 3: Cross multiply
    5,262.77x = 7,258.41 × 3,269.57
  4. Step 4: Simplify right side
    5,262.77x = 23,731,843.29
  5. Step 5: Solve for x
    x = 23,731,843.29/5,262.77
  6. Step 6: Final answer
    x = 4,509.38

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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.