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Finding the Fourth Proportional to 5,200.84, 7,761.01 and 4,647

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Solution

The fourth proportional to 5,200.84, 7,761.01 and 4,647 is: 6,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.84 : 7,761.01 = 4,647 : x
  2. Step 2: Convert to fraction form
    5,200.84/7,761.01 = 4,647/x
  3. Step 3: Cross multiply
    5,200.84x = 7,761.01 × 4,647
  4. Step 4: Simplify right side
    5,200.84x = 36,065,413.47
  5. Step 5: Solve for x
    x = 36,065,413.47/5,200.84
  6. Step 6: Final answer
    x = 6,934.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.