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Finding the Fourth Proportional to 4,856.12, 7,269.04 and 3,188.32

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Solution

The fourth proportional to 4,856.12, 7,269.04 and 3,188.32 is: 4,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.12 : 7,269.04 = 3,188.32 : x
  2. Step 2: Convert to fraction form
    4,856.12/7,269.04 = 3,188.32/x
  3. Step 3: Cross multiply
    4,856.12x = 7,269.04 × 3,188.32
  4. Step 4: Simplify right side
    4,856.12x = 23,176,025.61
  5. Step 5: Solve for x
    x = 23,176,025.61/4,856.12
  6. Step 6: Final answer
    x = 4,772.54

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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.