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Finding the Fourth Proportional to 4,963.89, 7,446.42 and 1,677.36

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Solution

The fourth proportional to 4,963.89, 7,446.42 and 1,677.36 is: 2,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.89 : 7,446.42 = 1,677.36 : x
  2. Step 2: Convert to fraction form
    4,963.89/7,446.42 = 1,677.36/x
  3. Step 3: Cross multiply
    4,963.89x = 7,446.42 × 1,677.36
  4. Step 4: Simplify right side
    4,963.89x = 12,490,327.05
  5. Step 5: Solve for x
    x = 12,490,327.05/4,963.89
  6. Step 6: Final answer
    x = 2,516.24

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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.