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Finding the Fourth Proportional to 4,856.92, 7,283.70 and 3,005.20

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Solution

The fourth proportional to 4,856.92, 7,283.70 and 3,005.20 is: 4,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.92 : 7,283.70 = 3,005.20 : x
  2. Step 2: Convert to fraction form
    4,856.92/7,283.70 = 3,005.20/x
  3. Step 3: Cross multiply
    4,856.92x = 7,283.70 × 3,005.20
  4. Step 4: Simplify right side
    4,856.92x = 21,888,975.24
  5. Step 5: Solve for x
    x = 21,888,975.24/4,856.92
  6. Step 6: Final answer
    x = 4,506.76

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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.