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Finding the Fourth Proportional to 5,215.64, 7,789.34 and 4,177.22

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Solution

The fourth proportional to 5,215.64, 7,789.34 and 4,177.22 is: 6,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.64 : 7,789.34 = 4,177.22 : x
  2. Step 2: Convert to fraction form
    5,215.64/7,789.34 = 4,177.22/x
  3. Step 3: Cross multiply
    5,215.64x = 7,789.34 × 4,177.22
  4. Step 4: Simplify right side
    5,215.64x = 32,537,786.83
  5. Step 5: Solve for x
    x = 32,537,786.83/5,215.64
  6. Step 6: Final answer
    x = 6,238.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.