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Finding the Fourth Proportional to 4,709.40, 6,499 and 2,613.66

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Solution

The fourth proportional to 4,709.40, 6,499 and 2,613.66 is: 3,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.40 : 6,499 = 2,613.66 : x
  2. Step 2: Convert to fraction form
    4,709.40/6,499 = 2,613.66/x
  3. Step 3: Cross multiply
    4,709.40x = 6,499 × 2,613.66
  4. Step 4: Simplify right side
    4,709.40x = 16,986,176.34
  5. Step 5: Solve for x
    x = 16,986,176.34/4,709.40
  6. Step 6: Final answer
    x = 3,606.87

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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.