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Finding the Fourth Proportional to 5,968.84, 8,937.24 and 3,882.64

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Solution

The fourth proportional to 5,968.84, 8,937.24 and 3,882.64 is: 5,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.84 : 8,937.24 = 3,882.64 : x
  2. Step 2: Convert to fraction form
    5,968.84/8,937.24 = 3,882.64/x
  3. Step 3: Cross multiply
    5,968.84x = 8,937.24 × 3,882.64
  4. Step 4: Simplify right side
    5,968.84x = 34,700,085.51
  5. Step 5: Solve for x
    x = 34,700,085.51/5,968.84
  6. Step 6: Final answer
    x = 5,813.54

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Why These Related Problems?

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