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Finding the Fourth Proportional to 4,065.26, 5,610.03 and 2,297.21

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Solution

The fourth proportional to 4,065.26, 5,610.03 and 2,297.21 is: 3,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.26 : 5,610.03 = 2,297.21 : x
  2. Step 2: Convert to fraction form
    4,065.26/5,610.03 = 2,297.21/x
  3. Step 3: Cross multiply
    4,065.26x = 5,610.03 × 2,297.21
  4. Step 4: Simplify right side
    4,065.26x = 12,887,417.02
  5. Step 5: Solve for x
    x = 12,887,417.02/4,065.26
  6. Step 6: Final answer
    x = 3,170.13

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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.