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Finding the Fourth Proportional to 4,551.98, 6,827.76 and 1,883.24

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Solution

The fourth proportional to 4,551.98, 6,827.76 and 1,883.24 is: 2,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.98 : 6,827.76 = 1,883.24 : x
  2. Step 2: Convert to fraction form
    4,551.98/6,827.76 = 1,883.24/x
  3. Step 3: Cross multiply
    4,551.98x = 6,827.76 × 1,883.24
  4. Step 4: Simplify right side
    4,551.98x = 12,858,310.74
  5. Step 5: Solve for x
    x = 12,858,310.74/4,551.98
  6. Step 6: Final answer
    x = 2,824.77

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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.