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Finding the Fourth Proportional to 5,776.65, 8,666.73 and 2,266.47

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Solution

The fourth proportional to 5,776.65, 8,666.73 and 2,266.47 is: 3,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.65 : 8,666.73 = 2,266.47 : x
  2. Step 2: Convert to fraction form
    5,776.65/8,666.73 = 2,266.47/x
  3. Step 3: Cross multiply
    5,776.65x = 8,666.73 × 2,266.47
  4. Step 4: Simplify right side
    5,776.65x = 19,642,883.54
  5. Step 5: Solve for x
    x = 19,642,883.54/5,776.65
  6. Step 6: Final answer
    x = 3,400.39

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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.