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Finding the Fourth Proportional to 6,374.71, 8,796.99 and 3,542.11

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Solution

The fourth proportional to 6,374.71, 8,796.99 and 3,542.11 is: 4,888.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.71 : 8,796.99 = 3,542.11 : x
  2. Step 2: Convert to fraction form
    6,374.71/8,796.99 = 3,542.11/x
  3. Step 3: Cross multiply
    6,374.71x = 8,796.99 × 3,542.11
  4. Step 4: Simplify right side
    6,374.71x = 31,159,906.25
  5. Step 5: Solve for x
    x = 31,159,906.25/6,374.71
  6. Step 6: Final answer
    x = 4,888.05

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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.