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Finding the Fourth Proportional to 5,594.64, 7,716.36 and 4,413.36

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Solution

The fourth proportional to 5,594.64, 7,716.36 and 4,413.36 is: 6,087.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.64 : 7,716.36 = 4,413.36 : x
  2. Step 2: Convert to fraction form
    5,594.64/7,716.36 = 4,413.36/x
  3. Step 3: Cross multiply
    5,594.64x = 7,716.36 × 4,413.36
  4. Step 4: Simplify right side
    5,594.64x = 34,055,074.57
  5. Step 5: Solve for x
    x = 34,055,074.57/5,594.64
  6. Step 6: Final answer
    x = 6,087.09

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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.