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Finding the Fourth Proportional to 4,767.32, 6,581.82 and 3,776.60

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Solution

The fourth proportional to 4,767.32, 6,581.82 and 3,776.60 is: 5,214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.32 : 6,581.82 = 3,776.60 : x
  2. Step 2: Convert to fraction form
    4,767.32/6,581.82 = 3,776.60/x
  3. Step 3: Cross multiply
    4,767.32x = 6,581.82 × 3,776.60
  4. Step 4: Simplify right side
    4,767.32x = 24,856,901.41
  5. Step 5: Solve for x
    x = 24,856,901.41/4,767.32
  6. Step 6: Final answer
    x = 5,214.02

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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.