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Finding the Fourth Proportional to 5,700.26, 7,866.40 and 3,216.26

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Solution

The fourth proportional to 5,700.26, 7,866.40 and 3,216.26 is: 4,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.26 : 7,866.40 = 3,216.26 : x
  2. Step 2: Convert to fraction form
    5,700.26/7,866.40 = 3,216.26/x
  3. Step 3: Cross multiply
    5,700.26x = 7,866.40 × 3,216.26
  4. Step 4: Simplify right side
    5,700.26x = 25,300,387.66
  5. Step 5: Solve for x
    x = 25,300,387.66/5,700.26
  6. Step 6: Final answer
    x = 4,438.46

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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.