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Finding the Fourth Proportional to 4,672.89, 7,005.02 and 1,748.97

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Solution

The fourth proportional to 4,672.89, 7,005.02 and 1,748.97 is: 2,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.89 : 7,005.02 = 1,748.97 : x
  2. Step 2: Convert to fraction form
    4,672.89/7,005.02 = 1,748.97/x
  3. Step 3: Cross multiply
    4,672.89x = 7,005.02 × 1,748.97
  4. Step 4: Simplify right side
    4,672.89x = 12,251,561.08
  5. Step 5: Solve for x
    x = 12,251,561.08/4,672.89
  6. Step 6: Final answer
    x = 2,621.84

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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.