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Finding the Fourth Proportional to 5,252.74, 7,855.86 and 4,671.82

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Solution

The fourth proportional to 5,252.74, 7,855.86 and 4,671.82 is: 6,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.74 : 7,855.86 = 4,671.82 : x
  2. Step 2: Convert to fraction form
    5,252.74/7,855.86 = 4,671.82/x
  3. Step 3: Cross multiply
    5,252.74x = 7,855.86 × 4,671.82
  4. Step 4: Simplify right side
    5,252.74x = 36,701,163.87
  5. Step 5: Solve for x
    x = 36,701,163.87/5,252.74
  6. Step 6: Final answer
    x = 6,987.05

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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.