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Finding the Fourth Proportional to 4,736.48, 7,095.32 and 3,691.44

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Solution

The fourth proportional to 4,736.48, 7,095.32 and 3,691.44 is: 5,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.48 : 7,095.32 = 3,691.44 : x
  2. Step 2: Convert to fraction form
    4,736.48/7,095.32 = 3,691.44/x
  3. Step 3: Cross multiply
    4,736.48x = 7,095.32 × 3,691.44
  4. Step 4: Simplify right side
    4,736.48x = 26,191,948.06
  5. Step 5: Solve for x
    x = 26,191,948.06/4,736.48
  6. Step 6: Final answer
    x = 5,529.83

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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.