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Finding the Fourth Proportional to 4,709.16, 6,499.98 and 3,771.48

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Solution

The fourth proportional to 4,709.16, 6,499.98 and 3,771.48 is: 5,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.16 : 6,499.98 = 3,771.48 : x
  2. Step 2: Convert to fraction form
    4,709.16/6,499.98 = 3,771.48/x
  3. Step 3: Cross multiply
    4,709.16x = 6,499.98 × 3,771.48
  4. Step 4: Simplify right side
    4,709.16x = 24,514,544.57
  5. Step 5: Solve for x
    x = 24,514,544.57/4,709.16
  6. Step 6: Final answer
    x = 5,205.71

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