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Finding the Fourth Proportional to 3,978.48, 5,967.72 and 1,017.18

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Solution

The fourth proportional to 3,978.48, 5,967.72 and 1,017.18 is: 1,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.48 : 5,967.72 = 1,017.18 : x
  2. Step 2: Convert to fraction form
    3,978.48/5,967.72 = 1,017.18/x
  3. Step 3: Cross multiply
    3,978.48x = 5,967.72 × 1,017.18
  4. Step 4: Simplify right side
    3,978.48x = 6,070,245.43
  5. Step 5: Solve for x
    x = 6,070,245.43/3,978.48
  6. Step 6: Final answer
    x = 1,525.77

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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.