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Finding the Fourth Proportional to 5,700.22, 7,866.36 and 3,277.95

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Solution

The fourth proportional to 5,700.22, 7,866.36 and 3,277.95 is: 4,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.22 : 7,866.36 = 3,277.95 : x
  2. Step 2: Convert to fraction form
    5,700.22/7,866.36 = 3,277.95/x
  3. Step 3: Cross multiply
    5,700.22x = 7,866.36 × 3,277.95
  4. Step 4: Simplify right side
    5,700.22x = 25,785,526.57
  5. Step 5: Solve for x
    x = 25,785,526.57/5,700.22
  6. Step 6: Final answer
    x = 4,523.60

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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.