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Finding the Fourth Proportional to 4,227.98, 5,834.34 and 2,549.93

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Solution

The fourth proportional to 4,227.98, 5,834.34 and 2,549.93 is: 3,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.98 : 5,834.34 = 2,549.93 : x
  2. Step 2: Convert to fraction form
    4,227.98/5,834.34 = 2,549.93/x
  3. Step 3: Cross multiply
    4,227.98x = 5,834.34 × 2,549.93
  4. Step 4: Simplify right side
    4,227.98x = 14,877,129.42
  5. Step 5: Solve for x
    x = 14,877,129.42/4,227.98
  6. Step 6: Final answer
    x = 3,518.74

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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.