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Finding the Fourth Proportional to 6,346.50, 8,758.26 and 3,552

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Solution

The fourth proportional to 6,346.50, 8,758.26 and 3,552 is: 4,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.50 : 8,758.26 = 3,552 : x
  2. Step 2: Convert to fraction form
    6,346.50/8,758.26 = 3,552/x
  3. Step 3: Cross multiply
    6,346.50x = 8,758.26 × 3,552
  4. Step 4: Simplify right side
    6,346.50x = 31,109,339.52
  5. Step 5: Solve for x
    x = 31,109,339.52/6,346.50
  6. Step 6: Final answer
    x = 4,901.81

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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.