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Finding the Fourth Proportional to 5,473.47, 7,550.77 and 3,584.25

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Solution

The fourth proportional to 5,473.47, 7,550.77 and 3,584.25 is: 4,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.47 : 7,550.77 = 3,584.25 : x
  2. Step 2: Convert to fraction form
    5,473.47/7,550.77 = 3,584.25/x
  3. Step 3: Cross multiply
    5,473.47x = 7,550.77 × 3,584.25
  4. Step 4: Simplify right side
    5,473.47x = 27,063,845.13
  5. Step 5: Solve for x
    x = 27,063,845.13/5,473.47
  6. Step 6: Final answer
    x = 4,944.55

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