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Finding the Fourth Proportional to 3,978.65, 5,968.01 and 2,032.22

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Solution

The fourth proportional to 3,978.65, 5,968.01 and 2,032.22 is: 3,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.65 : 5,968.01 = 2,032.22 : x
  2. Step 2: Convert to fraction form
    3,978.65/5,968.01 = 2,032.22/x
  3. Step 3: Cross multiply
    3,978.65x = 5,968.01 × 2,032.22
  4. Step 4: Simplify right side
    3,978.65x = 12,128,329.28
  5. Step 5: Solve for x
    x = 12,128,329.28/3,978.65
  6. Step 6: Final answer
    x = 3,048.35

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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.