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Finding the Fourth Proportional to 5,323.93, 7,334.78 and 4,204.46

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Solution

The fourth proportional to 5,323.93, 7,334.78 and 4,204.46 is: 5,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.93 : 7,334.78 = 4,204.46 : x
  2. Step 2: Convert to fraction form
    5,323.93/7,334.78 = 4,204.46/x
  3. Step 3: Cross multiply
    5,323.93x = 7,334.78 × 4,204.46
  4. Step 4: Simplify right side
    5,323.93x = 30,838,786.43
  5. Step 5: Solve for x
    x = 30,838,786.43/5,323.93
  6. Step 6: Final answer
    x = 5,792.49

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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.