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Finding the Fourth Proportional to 4,323, 5,965.74 and 2,460

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Solution

The fourth proportional to 4,323, 5,965.74 and 2,460 is: 3,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323 : 5,965.74 = 2,460 : x
  2. Step 2: Convert to fraction form
    4,323/5,965.74 = 2,460/x
  3. Step 3: Cross multiply
    4,323x = 5,965.74 × 2,460
  4. Step 4: Simplify right side
    4,323x = 14,675,720.40
  5. Step 5: Solve for x
    x = 14,675,720.40/4,323
  6. Step 6: Final answer
    x = 3,394.80

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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.