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Finding the Fourth Proportional to 4,734.67, 6,533.86 and 2,581.20

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Solution

The fourth proportional to 4,734.67, 6,533.86 and 2,581.20 is: 3,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.67 : 6,533.86 = 2,581.20 : x
  2. Step 2: Convert to fraction form
    4,734.67/6,533.86 = 2,581.20/x
  3. Step 3: Cross multiply
    4,734.67x = 6,533.86 × 2,581.20
  4. Step 4: Simplify right side
    4,734.67x = 16,865,231.74
  5. Step 5: Solve for x
    x = 16,865,231.74/4,734.67
  6. Step 6: Final answer
    x = 3,562.07

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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.