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Finding the Fourth Proportional to 4,314, 5,953.32 and 2,451

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Solution

The fourth proportional to 4,314, 5,953.32 and 2,451 is: 3,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314 : 5,953.32 = 2,451 : x
  2. Step 2: Convert to fraction form
    4,314/5,953.32 = 2,451/x
  3. Step 3: Cross multiply
    4,314x = 5,953.32 × 2,451
  4. Step 4: Simplify right side
    4,314x = 14,591,587.32
  5. Step 5: Solve for x
    x = 14,591,587.32/4,314
  6. Step 6: Final answer
    x = 3,382.38

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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.