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Finding the Fourth Proportional to 5,643.96, 7,788.07 and 3,126

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Solution

The fourth proportional to 5,643.96, 7,788.07 and 3,126 is: 4,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.96 : 7,788.07 = 3,126 : x
  2. Step 2: Convert to fraction form
    5,643.96/7,788.07 = 3,126/x
  3. Step 3: Cross multiply
    5,643.96x = 7,788.07 × 3,126
  4. Step 4: Simplify right side
    5,643.96x = 24,345,491.19
  5. Step 5: Solve for x
    x = 24,345,491.19/5,643.96
  6. Step 6: Final answer
    x = 4,313.55

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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.