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Finding the Fourth Proportional to 4,276, 5,902.32 and 3,037.60

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Solution

The fourth proportional to 4,276, 5,902.32 and 3,037.60 is: 4,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276 : 5,902.32 = 3,037.60 : x
  2. Step 2: Convert to fraction form
    4,276/5,902.32 = 3,037.60/x
  3. Step 3: Cross multiply
    4,276x = 5,902.32 × 3,037.60
  4. Step 4: Simplify right side
    4,276x = 17,928,887.23
  5. Step 5: Solve for x
    x = 17,928,887.23/4,276
  6. Step 6: Final answer
    x = 4,192.91

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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.