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Finding the Fourth Proportional to 5,643.75, 7,788.36 and 3,126.07

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Solution

The fourth proportional to 5,643.75, 7,788.36 and 3,126.07 is: 4,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.75 : 7,788.36 = 3,126.07 : x
  2. Step 2: Convert to fraction form
    5,643.75/7,788.36 = 3,126.07/x
  3. Step 3: Cross multiply
    5,643.75x = 7,788.36 × 3,126.07
  4. Step 4: Simplify right side
    5,643.75x = 24,346,958.55
  5. Step 5: Solve for x
    x = 24,346,958.55/5,643.75
  6. Step 6: Final answer
    x = 4,313.97

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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.