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Finding the Fourth Proportional to 3,546.68, 4,897.38 and 2,607.72

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Solution

The fourth proportional to 3,546.68, 4,897.38 and 2,607.72 is: 3,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.68 : 4,897.38 = 2,607.72 : x
  2. Step 2: Convert to fraction form
    3,546.68/4,897.38 = 2,607.72/x
  3. Step 3: Cross multiply
    3,546.68x = 4,897.38 × 2,607.72
  4. Step 4: Simplify right side
    3,546.68x = 12,770,995.77
  5. Step 5: Solve for x
    x = 12,770,995.77/3,546.68
  6. Step 6: Final answer
    x = 3,600.83

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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.