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Finding the Fourth Proportional to 4,231, 5,838.83 and 2,342.62

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Solution

The fourth proportional to 4,231, 5,838.83 and 2,342.62 is: 3,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231 : 5,838.83 = 2,342.62 : x
  2. Step 2: Convert to fraction form
    4,231/5,838.83 = 2,342.62/x
  3. Step 3: Cross multiply
    4,231x = 5,838.83 × 2,342.62
  4. Step 4: Simplify right side
    4,231x = 13,678,159.93
  5. Step 5: Solve for x
    x = 13,678,159.93/4,231
  6. Step 6: Final answer
    x = 3,232.84

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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.