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Finding the Fourth Proportional to 4,468.68, 6,694.30 and 2,925

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Solution

The fourth proportional to 4,468.68, 6,694.30 and 2,925 is: 4,381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.68 : 6,694.30 = 2,925 : x
  2. Step 2: Convert to fraction form
    4,468.68/6,694.30 = 2,925/x
  3. Step 3: Cross multiply
    4,468.68x = 6,694.30 × 2,925
  4. Step 4: Simplify right side
    4,468.68x = 19,580,827.50
  5. Step 5: Solve for x
    x = 19,580,827.50/4,468.68
  6. Step 6: Final answer
    x = 4,381.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.