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Finding the Fourth Proportional to 4,903.72, 6,767.94 and 3,581.80

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Solution

The fourth proportional to 4,903.72, 6,767.94 and 3,581.80 is: 4,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.72 : 6,767.94 = 3,581.80 : x
  2. Step 2: Convert to fraction form
    4,903.72/6,767.94 = 3,581.80/x
  3. Step 3: Cross multiply
    4,903.72x = 6,767.94 × 3,581.80
  4. Step 4: Simplify right side
    4,903.72x = 24,241,407.49
  5. Step 5: Solve for x
    x = 24,241,407.49/4,903.72
  6. Step 6: Final answer
    x = 4,943.47

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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.