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Finding the Fourth Proportional to 4,301, 5,935.34 and 2,438

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Solution

The fourth proportional to 4,301, 5,935.34 and 2,438 is: 3,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301 : 5,935.34 = 2,438 : x
  2. Step 2: Convert to fraction form
    4,301/5,935.34 = 2,438/x
  3. Step 3: Cross multiply
    4,301x = 5,935.34 × 2,438
  4. Step 4: Simplify right side
    4,301x = 14,470,358.92
  5. Step 5: Solve for x
    x = 14,470,358.92/4,301
  6. Step 6: Final answer
    x = 3,364.42

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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.