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Finding the Fourth Proportional to 4,769.64, 7,184.52 and 4,478.04

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Solution

The fourth proportional to 4,769.64, 7,184.52 and 4,478.04 is: 6,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.64 : 7,184.52 = 4,478.04 : x
  2. Step 2: Convert to fraction form
    4,769.64/7,184.52 = 4,478.04/x
  3. Step 3: Cross multiply
    4,769.64x = 7,184.52 × 4,478.04
  4. Step 4: Simplify right side
    4,769.64x = 32,172,567.94
  5. Step 5: Solve for x
    x = 32,172,567.94/4,769.64
  6. Step 6: Final answer
    x = 6,745.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.