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Finding the Fourth Proportional to 3,927.08, 5,890.76 and 1,978.24

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Solution

The fourth proportional to 3,927.08, 5,890.76 and 1,978.24 is: 2,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.08 : 5,890.76 = 1,978.24 : x
  2. Step 2: Convert to fraction form
    3,927.08/5,890.76 = 1,978.24/x
  3. Step 3: Cross multiply
    3,927.08x = 5,890.76 × 1,978.24
  4. Step 4: Simplify right side
    3,927.08x = 11,653,337.06
  5. Step 5: Solve for x
    x = 11,653,337.06/3,927.08
  6. Step 6: Final answer
    x = 2,967.43

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1.5x scale

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.