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Finding the Fourth Proportional to 2,586.44, 3,545.22 and 2,549.99

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Solution

The fourth proportional to 2,586.44, 3,545.22 and 2,549.99 is: 3,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.44 : 3,545.22 = 2,549.99 : x
  2. Step 2: Convert to fraction form
    2,586.44/3,545.22 = 2,549.99/x
  3. Step 3: Cross multiply
    2,586.44x = 3,545.22 × 2,549.99
  4. Step 4: Simplify right side
    2,586.44x = 9,040,275.55
  5. Step 5: Solve for x
    x = 9,040,275.55/2,586.44
  6. Step 6: Final answer
    x = 3,495.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.