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Finding the Fourth Proportional to 5,666.44, 8,497.70 and 1,967.78

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Solution

The fourth proportional to 5,666.44, 8,497.70 and 1,967.78 is: 2,950.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.44 : 8,497.70 = 1,967.78 : x
  2. Step 2: Convert to fraction form
    5,666.44/8,497.70 = 1,967.78/x
  3. Step 3: Cross multiply
    5,666.44x = 8,497.70 × 1,967.78
  4. Step 4: Simplify right side
    5,666.44x = 16,721,604.11
  5. Step 5: Solve for x
    x = 16,721,604.11/5,666.44
  6. Step 6: Final answer
    x = 2,950.99

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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.