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Finding the Fourth Proportional to 5,643.89, 7,788.31 and 3,125.83

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Solution

The fourth proportional to 5,643.89, 7,788.31 and 3,125.83 is: 4,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.89 : 7,788.31 = 3,125.83 : x
  2. Step 2: Convert to fraction form
    5,643.89/7,788.31 = 3,125.83/x
  3. Step 3: Cross multiply
    5,643.89x = 7,788.31 × 3,125.83
  4. Step 4: Simplify right side
    5,643.89x = 24,344,933.05
  5. Step 5: Solve for x
    x = 24,344,933.05/5,643.89
  6. Step 6: Final answer
    x = 4,313.50

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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.