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Finding the Fourth Proportional to 5,275.91, 7,912.26 and 1,765.01

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Solution

The fourth proportional to 5,275.91, 7,912.26 and 1,765.01 is: 2,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.91 : 7,912.26 = 1,765.01 : x
  2. Step 2: Convert to fraction form
    5,275.91/7,912.26 = 1,765.01/x
  3. Step 3: Cross multiply
    5,275.91x = 7,912.26 × 1,765.01
  4. Step 4: Simplify right side
    5,275.91x = 13,965,218.02
  5. Step 5: Solve for x
    x = 13,965,218.02/5,275.91
  6. Step 6: Final answer
    x = 2,646.98

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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.