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Finding the Fourth Proportional to 6,194.34, 8,548.34 and 3,542.00

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Solution

The fourth proportional to 6,194.34, 8,548.34 and 3,542.00 is: 4,888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.34 : 8,548.34 = 3,542.00 : x
  2. Step 2: Convert to fraction form
    6,194.34/8,548.34 = 3,542.00/x
  3. Step 3: Cross multiply
    6,194.34x = 8,548.34 × 3,542.00
  4. Step 4: Simplify right side
    6,194.34x = 30,278,159.83
  5. Step 5: Solve for x
    x = 30,278,159.83/6,194.34
  6. Step 6: Final answer
    x = 4,888.04

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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.