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Finding the Fourth Proportional to 3,978.48, 5,968.08 and 1,205.16

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Solution

The fourth proportional to 3,978.48, 5,968.08 and 1,205.16 is: 1,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.48 : 5,968.08 = 1,205.16 : x
  2. Step 2: Convert to fraction form
    3,978.48/5,968.08 = 1,205.16/x
  3. Step 3: Cross multiply
    3,978.48x = 5,968.08 × 1,205.16
  4. Step 4: Simplify right side
    3,978.48x = 7,192,491.29
  5. Step 5: Solve for x
    x = 7,192,491.29/3,978.48
  6. Step 6: Final answer
    x = 1,807.85

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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.