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Finding the Fourth Proportional to 5,302.92, 7,954.46 and 1,792.96

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Solution

The fourth proportional to 5,302.92, 7,954.46 and 1,792.96 is: 2,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.92 : 7,954.46 = 1,792.96 : x
  2. Step 2: Convert to fraction form
    5,302.92/7,954.46 = 1,792.96/x
  3. Step 3: Cross multiply
    5,302.92x = 7,954.46 × 1,792.96
  4. Step 4: Simplify right side
    5,302.92x = 14,262,028.60
  5. Step 5: Solve for x
    x = 14,262,028.60/5,302.92
  6. Step 6: Final answer
    x = 2,689.47

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1.5x scale

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.