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Finding the Fourth Proportional to 4,723.38, 6,500.66 and 3,775.68

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Solution

The fourth proportional to 4,723.38, 6,500.66 and 3,775.68 is: 5,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.38 : 6,500.66 = 3,775.68 : x
  2. Step 2: Convert to fraction form
    4,723.38/6,500.66 = 3,775.68/x
  3. Step 3: Cross multiply
    4,723.38x = 6,500.66 × 3,775.68
  4. Step 4: Simplify right side
    4,723.38x = 24,544,393.07
  5. Step 5: Solve for x
    x = 24,544,393.07/4,723.38
  6. Step 6: Final answer
    x = 5,196.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.