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Finding the Fourth Proportional to 5,302.73, 7,954.10 and 1,792.75

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Solution

The fourth proportional to 5,302.73, 7,954.10 and 1,792.75 is: 2,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.73 : 7,954.10 = 1,792.75 : x
  2. Step 2: Convert to fraction form
    5,302.73/7,954.10 = 1,792.75/x
  3. Step 3: Cross multiply
    5,302.73x = 7,954.10 × 1,792.75
  4. Step 4: Simplify right side
    5,302.73x = 14,259,712.78
  5. Step 5: Solve for x
    x = 14,259,712.78/5,302.73
  6. Step 6: Final answer
    x = 2,689.13

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Why These Related Problems?

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