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Finding the Fourth Proportional to 5,792.74, 7,994.01 and 3,140.14

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Solution

The fourth proportional to 5,792.74, 7,994.01 and 3,140.14 is: 4,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.74 : 7,994.01 = 3,140.14 : x
  2. Step 2: Convert to fraction form
    5,792.74/7,994.01 = 3,140.14/x
  3. Step 3: Cross multiply
    5,792.74x = 7,994.01 × 3,140.14
  4. Step 4: Simplify right side
    5,792.74x = 25,102,310.56
  5. Step 5: Solve for x
    x = 25,102,310.56/5,792.74
  6. Step 6: Final answer
    x = 4,333.41

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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.