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Finding the Fourth Proportional to 4,947.60, 6,828.50 and 2,823.50

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Solution

The fourth proportional to 4,947.60, 6,828.50 and 2,823.50 is: 3,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.60 : 6,828.50 = 2,823.50 : x
  2. Step 2: Convert to fraction form
    4,947.60/6,828.50 = 2,823.50/x
  3. Step 3: Cross multiply
    4,947.60x = 6,828.50 × 2,823.50
  4. Step 4: Simplify right side
    4,947.60x = 19,280,269.75
  5. Step 5: Solve for x
    x = 19,280,269.75/4,947.60
  6. Step 6: Final answer
    x = 3,896.89

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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.