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Finding the Fourth Proportional to 5,969.84, 8,240.54 and 4,270.48

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Solution

The fourth proportional to 5,969.84, 8,240.54 and 4,270.48 is: 5,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.84 : 8,240.54 = 4,270.48 : x
  2. Step 2: Convert to fraction form
    5,969.84/8,240.54 = 4,270.48/x
  3. Step 3: Cross multiply
    5,969.84x = 8,240.54 × 4,270.48
  4. Step 4: Simplify right side
    5,969.84x = 35,191,061.26
  5. Step 5: Solve for x
    x = 35,191,061.26/5,969.84
  6. Step 6: Final answer
    x = 5,894.81

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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.