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Finding the Fourth Proportional to 4,233, 5,841.54 and 2,370

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Solution

The fourth proportional to 4,233, 5,841.54 and 2,370 is: 3,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233 : 5,841.54 = 2,370 : x
  2. Step 2: Convert to fraction form
    4,233/5,841.54 = 2,370/x
  3. Step 3: Cross multiply
    4,233x = 5,841.54 × 2,370
  4. Step 4: Simplify right side
    4,233x = 13,844,449.80
  5. Step 5: Solve for x
    x = 13,844,449.80/4,233
  6. Step 6: Final answer
    x = 3,270.60

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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.