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Finding the Fourth Proportional to 5,563.72, 7,677.82 and 3,045.77

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Solution

The fourth proportional to 5,563.72, 7,677.82 and 3,045.77 is: 4,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.72 : 7,677.82 = 3,045.77 : x
  2. Step 2: Convert to fraction form
    5,563.72/7,677.82 = 3,045.77/x
  3. Step 3: Cross multiply
    5,563.72x = 7,677.82 × 3,045.77
  4. Step 4: Simplify right side
    5,563.72x = 23,384,868.03
  5. Step 5: Solve for x
    x = 23,384,868.03/5,563.72
  6. Step 6: Final answer
    x = 4,203.10

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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.