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Finding the Fourth Proportional to 4,709.44, 6,499.12 and 2,613.52

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Solution

The fourth proportional to 4,709.44, 6,499.12 and 2,613.52 is: 3,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.44 : 6,499.12 = 2,613.52 : x
  2. Step 2: Convert to fraction form
    4,709.44/6,499.12 = 2,613.52/x
  3. Step 3: Cross multiply
    4,709.44x = 6,499.12 × 2,613.52
  4. Step 4: Simplify right side
    4,709.44x = 16,985,580.10
  5. Step 5: Solve for x
    x = 16,985,580.10/4,709.44
  6. Step 6: Final answer
    x = 3,606.71

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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.