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Finding the Fourth Proportional to 4,065.53, 5,610.20 and 2,297.16

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Solution

The fourth proportional to 4,065.53, 5,610.20 and 2,297.16 is: 3,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.53 : 5,610.20 = 2,297.16 : x
  2. Step 2: Convert to fraction form
    4,065.53/5,610.20 = 2,297.16/x
  3. Step 3: Cross multiply
    4,065.53x = 5,610.20 × 2,297.16
  4. Step 4: Simplify right side
    4,065.53x = 12,887,515.55
  5. Step 5: Solve for x
    x = 12,887,515.55/4,065.53
  6. Step 6: Final answer
    x = 3,169.95

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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.