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Finding the Fourth Proportional to 4,200, 5,796 and 2,337

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Solution

The fourth proportional to 4,200, 5,796 and 2,337 is: 3,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200 : 5,796 = 2,337 : x
  2. Step 2: Convert to fraction form
    4,200/5,796 = 2,337/x
  3. Step 3: Cross multiply
    4,200x = 5,796 × 2,337
  4. Step 4: Simplify right side
    4,200x = 13,545,252
  5. Step 5: Solve for x
    x = 13,545,252/4,200
  6. Step 6: Final answer
    x = 3,225.06

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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.