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Finding the Fourth Proportional to 5,681.69, 8,523.70 and 2,394.78

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Solution

The fourth proportional to 5,681.69, 8,523.70 and 2,394.78 is: 3,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.69 : 8,523.70 = 2,394.78 : x
  2. Step 2: Convert to fraction form
    5,681.69/8,523.70 = 2,394.78/x
  3. Step 3: Cross multiply
    5,681.69x = 8,523.70 × 2,394.78
  4. Step 4: Simplify right side
    5,681.69x = 20,412,396.28
  5. Step 5: Solve for x
    x = 20,412,396.28/5,681.69
  6. Step 6: Final answer
    x = 3,592.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.