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Finding the Fourth Proportional to 5,644.14, 7,788.32 and 3,126.19

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Solution

The fourth proportional to 5,644.14, 7,788.32 and 3,126.19 is: 4,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.14 : 7,788.32 = 3,126.19 : x
  2. Step 2: Convert to fraction form
    5,644.14/7,788.32 = 3,126.19/x
  3. Step 3: Cross multiply
    5,644.14x = 7,788.32 × 3,126.19
  4. Step 4: Simplify right side
    5,644.14x = 24,347,768.10
  5. Step 5: Solve for x
    x = 24,347,768.10/5,644.14
  6. Step 6: Final answer
    x = 4,313.81

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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.