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Finding the Fourth Proportional to 4,732.56, 7,102.08 and 2,269.08

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Solution

The fourth proportional to 4,732.56, 7,102.08 and 2,269.08 is: 3,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.56 : 7,102.08 = 2,269.08 : x
  2. Step 2: Convert to fraction form
    4,732.56/7,102.08 = 2,269.08/x
  3. Step 3: Cross multiply
    4,732.56x = 7,102.08 × 2,269.08
  4. Step 4: Simplify right side
    4,732.56x = 16,115,187.69
  5. Step 5: Solve for x
    x = 16,115,187.69/4,732.56
  6. Step 6: Final answer
    x = 3,405.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.