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Finding the Fourth Proportional to 5,559.24, 7,678.05 and 3,787.77

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Solution

The fourth proportional to 5,559.24, 7,678.05 and 3,787.77 is: 5,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,559.24 : 7,678.05 = 3,787.77 : x
  2. Step 2: Convert to fraction form
    5,559.24/7,678.05 = 3,787.77/x
  3. Step 3: Cross multiply
    5,559.24x = 7,678.05 × 3,787.77
  4. Step 4: Simplify right side
    5,559.24x = 29,082,687.45
  5. Step 5: Solve for x
    x = 29,082,687.45/5,559.24
  6. Step 6: Final answer
    x = 5,231.41

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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.