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Finding the Fourth Proportional to 4,197.68, 5,792.95 and 2,309.34

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Solution

The fourth proportional to 4,197.68, 5,792.95 and 2,309.34 is: 3,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.68 : 5,792.95 = 2,309.34 : x
  2. Step 2: Convert to fraction form
    4,197.68/5,792.95 = 2,309.34/x
  3. Step 3: Cross multiply
    4,197.68x = 5,792.95 × 2,309.34
  4. Step 4: Simplify right side
    4,197.68x = 13,377,885.38
  5. Step 5: Solve for x
    x = 13,377,885.38/4,197.68
  6. Step 6: Final answer
    x = 3,186.98

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Why These Related Problems?

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