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Finding the Fourth Proportional to 5,624.88, 7,762.82 and 3,107.27

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Solution

The fourth proportional to 5,624.88, 7,762.82 and 3,107.27 is: 4,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.88 : 7,762.82 = 3,107.27 : x
  2. Step 2: Convert to fraction form
    5,624.88/7,762.82 = 3,107.27/x
  3. Step 3: Cross multiply
    5,624.88x = 7,762.82 × 3,107.27
  4. Step 4: Simplify right side
    5,624.88x = 24,121,123.35
  5. Step 5: Solve for x
    x = 24,121,123.35/5,624.88
  6. Step 6: Final answer
    x = 4,288.29

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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.