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Finding the Fourth Proportional to 4,613.76, 6,910.23 and 2,143.38

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Solution

The fourth proportional to 4,613.76, 6,910.23 and 2,143.38 is: 3,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.76 : 6,910.23 = 2,143.38 : x
  2. Step 2: Convert to fraction form
    4,613.76/6,910.23 = 2,143.38/x
  3. Step 3: Cross multiply
    4,613.76x = 6,910.23 × 2,143.38
  4. Step 4: Simplify right side
    4,613.76x = 14,811,222.86
  5. Step 5: Solve for x
    x = 14,811,222.86/4,613.76
  6. Step 6: Final answer
    x = 3,210.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.