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Finding the Fourth Proportional to 4,769.16, 6,578.72 and 2,779.50

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Solution

The fourth proportional to 4,769.16, 6,578.72 and 2,779.50 is: 3,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.16 : 6,578.72 = 2,779.50 : x
  2. Step 2: Convert to fraction form
    4,769.16/6,578.72 = 2,779.50/x
  3. Step 3: Cross multiply
    4,769.16x = 6,578.72 × 2,779.50
  4. Step 4: Simplify right side
    4,769.16x = 18,285,538.34
  5. Step 5: Solve for x
    x = 18,285,538.34/4,769.16
  6. Step 6: Final answer
    x = 3,834.12

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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.