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Finding the Fourth Proportional to 4,877.98, 6,732.36 and 3,204.24

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Solution

The fourth proportional to 4,877.98, 6,732.36 and 3,204.24 is: 4,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.98 : 6,732.36 = 3,204.24 : x
  2. Step 2: Convert to fraction form
    4,877.98/6,732.36 = 3,204.24/x
  3. Step 3: Cross multiply
    4,877.98x = 6,732.36 × 3,204.24
  4. Step 4: Simplify right side
    4,877.98x = 21,572,097.21
  5. Step 5: Solve for x
    x = 21,572,097.21/4,877.98
  6. Step 6: Final answer
    x = 4,422.34

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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.