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Finding the Fourth Proportional to 5,413.59, 7,467.26 and 4,522.59

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Solution

The fourth proportional to 5,413.59, 7,467.26 and 4,522.59 is: 6,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.59 : 7,467.26 = 4,522.59 : x
  2. Step 2: Convert to fraction form
    5,413.59/7,467.26 = 4,522.59/x
  3. Step 3: Cross multiply
    5,413.59x = 7,467.26 × 4,522.59
  4. Step 4: Simplify right side
    5,413.59x = 33,771,332.79
  5. Step 5: Solve for x
    x = 33,771,332.79/5,413.59
  6. Step 6: Final answer
    x = 6,238.25

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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.