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Finding the Fourth Proportional to 4,877.42, 6,725.64 and 3,932.21

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Solution

The fourth proportional to 4,877.42, 6,725.64 and 3,932.21 is: 5,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.42 : 6,725.64 = 3,932.21 : x
  2. Step 2: Convert to fraction form
    4,877.42/6,725.64 = 3,932.21/x
  3. Step 3: Cross multiply
    4,877.42x = 6,725.64 × 3,932.21
  4. Step 4: Simplify right side
    4,877.42x = 26,446,628.86
  5. Step 5: Solve for x
    x = 26,446,628.86/4,877.42
  6. Step 6: Final answer
    x = 5,422.26

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