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Finding the Fourth Proportional to 5,768.26, 7,964.65 and 4,507.13

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Solution

The fourth proportional to 5,768.26, 7,964.65 and 4,507.13 is: 6,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.26 : 7,964.65 = 4,507.13 : x
  2. Step 2: Convert to fraction form
    5,768.26/7,964.65 = 4,507.13/x
  3. Step 3: Cross multiply
    5,768.26x = 7,964.65 × 4,507.13
  4. Step 4: Simplify right side
    5,768.26x = 35,897,738.50
  5. Step 5: Solve for x
    x = 35,897,738.50/5,768.26
  6. Step 6: Final answer
    x = 6,223.32

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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.