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Finding the Fourth Proportional to 6,272.87, 8,656.80 and 3,440.50

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Solution

The fourth proportional to 6,272.87, 8,656.80 and 3,440.50 is: 4,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.87 : 8,656.80 = 3,440.50 : x
  2. Step 2: Convert to fraction form
    6,272.87/8,656.80 = 3,440.50/x
  3. Step 3: Cross multiply
    6,272.87x = 8,656.80 × 3,440.50
  4. Step 4: Simplify right side
    6,272.87x = 29,783,719.88
  5. Step 5: Solve for x
    x = 29,783,719.88/6,272.87
  6. Step 6: Final answer
    x = 4,748.02

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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.