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Finding the Fourth Proportional to 4,321, 5,963 and 2,458

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Solution

The fourth proportional to 4,321, 5,963 and 2,458 is: 3,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321 : 5,963 = 2,458 : x
  2. Step 2: Convert to fraction form
    4,321/5,963 = 2,458/x
  3. Step 3: Cross multiply
    4,321x = 5,963 × 2,458
  4. Step 4: Simplify right side
    4,321x = 14,657,054
  5. Step 5: Solve for x
    x = 14,657,054/4,321
  6. Step 6: Final answer
    x = 3,392.05

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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.