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Finding the Fourth Proportional to 5,768.04, 7,960.92 and 3,411

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Solution

The fourth proportional to 5,768.04, 7,960.92 and 3,411 is: 4,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.04 : 7,960.92 = 3,411 : x
  2. Step 2: Convert to fraction form
    5,768.04/7,960.92 = 3,411/x
  3. Step 3: Cross multiply
    5,768.04x = 7,960.92 × 3,411
  4. Step 4: Simplify right side
    5,768.04x = 27,154,698.12
  5. Step 5: Solve for x
    x = 27,154,698.12/5,768.04
  6. Step 6: Final answer
    x = 4,707.79

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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.