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Finding the Fourth Proportional to 4,767.96, 6,581.22 and 3,089.34

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Solution

The fourth proportional to 4,767.96, 6,581.22 and 3,089.34 is: 4,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.96 : 6,581.22 = 3,089.34 : x
  2. Step 2: Convert to fraction form
    4,767.96/6,581.22 = 3,089.34/x
  3. Step 3: Cross multiply
    4,767.96x = 6,581.22 × 3,089.34
  4. Step 4: Simplify right side
    4,767.96x = 20,331,626.19
  5. Step 5: Solve for x
    x = 20,331,626.19/4,767.96
  6. Step 6: Final answer
    x = 4,264.22

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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.