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Finding the Fourth Proportional to 4,709.41, 6,499.17 and 2,613.53

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Solution

The fourth proportional to 4,709.41, 6,499.17 and 2,613.53 is: 3,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.41 : 6,499.17 = 2,613.53 : x
  2. Step 2: Convert to fraction form
    4,709.41/6,499.17 = 2,613.53/x
  3. Step 3: Cross multiply
    4,709.41x = 6,499.17 × 2,613.53
  4. Step 4: Simplify right side
    4,709.41x = 16,985,792.02
  5. Step 5: Solve for x
    x = 16,985,792.02/4,709.41
  6. Step 6: Final answer
    x = 3,606.78

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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.