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Finding the Fourth Proportional to 4,938.32, 6,822.60 and 4,679.12

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Solution

The fourth proportional to 4,938.32, 6,822.60 and 4,679.12 is: 6,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.32 : 6,822.60 = 4,679.12 : x
  2. Step 2: Convert to fraction form
    4,938.32/6,822.60 = 4,679.12/x
  3. Step 3: Cross multiply
    4,938.32x = 6,822.60 × 4,679.12
  4. Step 4: Simplify right side
    4,938.32x = 31,923,764.11
  5. Step 5: Solve for x
    x = 31,923,764.11/4,938.32
  6. Step 6: Final answer
    x = 6,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.