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Finding the Fourth Proportional to 5,744.52, 7,928.32 and 3,507.70

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Solution

The fourth proportional to 5,744.52, 7,928.32 and 3,507.70 is: 4,841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.52 : 7,928.32 = 3,507.70 : x
  2. Step 2: Convert to fraction form
    5,744.52/7,928.32 = 3,507.70/x
  3. Step 3: Cross multiply
    5,744.52x = 7,928.32 × 3,507.70
  4. Step 4: Simplify right side
    5,744.52x = 27,810,168.06
  5. Step 5: Solve for x
    x = 27,810,168.06/5,744.52
  6. Step 6: Final answer
    x = 4,841.16

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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.