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Finding the Fourth Proportional to 5,792.89, 7,992.31 and 3,274.76

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Solution

The fourth proportional to 5,792.89, 7,992.31 and 3,274.76 is: 4,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.89 : 7,992.31 = 3,274.76 : x
  2. Step 2: Convert to fraction form
    5,792.89/7,992.31 = 3,274.76/x
  3. Step 3: Cross multiply
    5,792.89x = 7,992.31 × 3,274.76
  4. Step 4: Simplify right side
    5,792.89x = 26,172,897.10
  5. Step 5: Solve for x
    x = 26,172,897.10/5,792.89
  6. Step 6: Final answer
    x = 4,518.11

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1.5x scale

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.