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Finding the Fourth Proportional to 3,292.98, 4,934.82 and 2,549.13

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Solution

The fourth proportional to 3,292.98, 4,934.82 and 2,549.13 is: 3,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.98 : 4,934.82 = 2,549.13 : x
  2. Step 2: Convert to fraction form
    3,292.98/4,934.82 = 2,549.13/x
  3. Step 3: Cross multiply
    3,292.98x = 4,934.82 × 2,549.13
  4. Step 4: Simplify right side
    3,292.98x = 12,579,497.71
  5. Step 5: Solve for x
    x = 12,579,497.71/3,292.98
  6. Step 6: Final answer
    x = 3,820.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.