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Finding the Fourth Proportional to 5,749.44, 7,934.72 and 3,232

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Solution

The fourth proportional to 5,749.44, 7,934.72 and 3,232 is: 4,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.44 : 7,934.72 = 3,232 : x
  2. Step 2: Convert to fraction form
    5,749.44/7,934.72 = 3,232/x
  3. Step 3: Cross multiply
    5,749.44x = 7,934.72 × 3,232
  4. Step 4: Simplify right side
    5,749.44x = 25,645,015.04
  5. Step 5: Solve for x
    x = 25,645,015.04/5,749.44
  6. Step 6: Final answer
    x = 4,460.44

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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.