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Finding the Fourth Proportional to 5,792.84, 7,994.12 and 3,140.25

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Solution

The fourth proportional to 5,792.84, 7,994.12 and 3,140.25 is: 4,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.84 : 7,994.12 = 3,140.25 : x
  2. Step 2: Convert to fraction form
    5,792.84/7,994.12 = 3,140.25/x
  3. Step 3: Cross multiply
    5,792.84x = 7,994.12 × 3,140.25
  4. Step 4: Simplify right side
    5,792.84x = 25,103,519.63
  5. Step 5: Solve for x
    x = 25,103,519.63/5,792.84
  6. Step 6: Final answer
    x = 4,333.55

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Double scale
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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.