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Finding the Fourth Proportional to 5,667.84, 7,818.98 and 3,542.00

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Solution

The fourth proportional to 5,667.84, 7,818.98 and 3,542.00 is: 4,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.84 : 7,818.98 = 3,542.00 : x
  2. Step 2: Convert to fraction form
    5,667.84/7,818.98 = 3,542.00/x
  3. Step 3: Cross multiply
    5,667.84x = 7,818.98 × 3,542.00
  4. Step 4: Simplify right side
    5,667.84x = 27,694,770.36
  5. Step 5: Solve for x
    x = 27,694,770.36/5,667.84
  6. Step 6: Final answer
    x = 4,886.30

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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.