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Finding the Fourth Proportional to 5,971.84, 8,963.34 and 3,052.24

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Solution

The fourth proportional to 5,971.84, 8,963.34 and 3,052.24 is: 4,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.84 : 8,963.34 = 3,052.24 : x
  2. Step 2: Convert to fraction form
    5,971.84/8,963.34 = 3,052.24/x
  3. Step 3: Cross multiply
    5,971.84x = 8,963.34 × 3,052.24
  4. Step 4: Simplify right side
    5,971.84x = 27,358,264.88
  5. Step 5: Solve for x
    x = 27,358,264.88/5,971.84
  6. Step 6: Final answer
    x = 4,581.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.