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Finding the Fourth Proportional to 5,841.70, 8,752 and 3,206.36

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Solution

The fourth proportional to 5,841.70, 8,752 and 3,206.36 is: 4,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.70 : 8,752 = 3,206.36 : x
  2. Step 2: Convert to fraction form
    5,841.70/8,752 = 3,206.36/x
  3. Step 3: Cross multiply
    5,841.70x = 8,752 × 3,206.36
  4. Step 4: Simplify right side
    5,841.70x = 28,062,062.72
  5. Step 5: Solve for x
    x = 28,062,062.72/5,841.70
  6. Step 6: Final answer
    x = 4,803.75

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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.