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Finding the Fourth Proportional to 3,526.44, 5,266.48 and 2,834.16

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Solution

The fourth proportional to 3,526.44, 5,266.48 and 2,834.16 is: 4,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.44 : 5,266.48 = 2,834.16 : x
  2. Step 2: Convert to fraction form
    3,526.44/5,266.48 = 2,834.16/x
  3. Step 3: Cross multiply
    3,526.44x = 5,266.48 × 2,834.16
  4. Step 4: Simplify right side
    3,526.44x = 14,926,046.96
  5. Step 5: Solve for x
    x = 14,926,046.96/3,526.44
  6. Step 6: Final answer
    x = 4,232.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.