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Finding the Fourth Proportional to 4,856.72, 7,285.20 and 2,261.60

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Solution

The fourth proportional to 4,856.72, 7,285.20 and 2,261.60 is: 3,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.72 : 7,285.20 = 2,261.60 : x
  2. Step 2: Convert to fraction form
    4,856.72/7,285.20 = 2,261.60/x
  3. Step 3: Cross multiply
    4,856.72x = 7,285.20 × 2,261.60
  4. Step 4: Simplify right side
    4,856.72x = 16,476,208.32
  5. Step 5: Solve for x
    x = 16,476,208.32/4,856.72
  6. Step 6: Final answer
    x = 3,392.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.