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Finding the Fourth Proportional to 6,359.34, 8,775.63 and 3,706.86

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Solution

The fourth proportional to 6,359.34, 8,775.63 and 3,706.86 is: 5,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.34 : 8,775.63 = 3,706.86 : x
  2. Step 2: Convert to fraction form
    6,359.34/8,775.63 = 3,706.86/x
  3. Step 3: Cross multiply
    6,359.34x = 8,775.63 × 3,706.86
  4. Step 4: Simplify right side
    6,359.34x = 32,530,031.82
  5. Step 5: Solve for x
    x = 32,530,031.82/6,359.34
  6. Step 6: Final answer
    x = 5,115.32

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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.