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Finding the Fourth Proportional to 4,293, 5,924.34 and 2,430

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Solution

The fourth proportional to 4,293, 5,924.34 and 2,430 is: 3,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293 : 5,924.34 = 2,430 : x
  2. Step 2: Convert to fraction form
    4,293/5,924.34 = 2,430/x
  3. Step 3: Cross multiply
    4,293x = 5,924.34 × 2,430
  4. Step 4: Simplify right side
    4,293x = 14,396,146.20
  5. Step 5: Solve for x
    x = 14,396,146.20/4,293
  6. Step 6: Final answer
    x = 3,353.40

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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.