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Finding the Fourth Proportional to 4,732.65, 7,109.10 and 2,884.77

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Solution

The fourth proportional to 4,732.65, 7,109.10 and 2,884.77 is: 4,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.65 : 7,109.10 = 2,884.77 : x
  2. Step 2: Convert to fraction form
    4,732.65/7,109.10 = 2,884.77/x
  3. Step 3: Cross multiply
    4,732.65x = 7,109.10 × 2,884.77
  4. Step 4: Simplify right side
    4,732.65x = 20,508,118.41
  5. Step 5: Solve for x
    x = 20,508,118.41/4,732.65
  6. Step 6: Final answer
    x = 4,333.33

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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.