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Finding the Fourth Proportional to 6,218.68, 8,577.30 and 4,225.76

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Solution

The fourth proportional to 6,218.68, 8,577.30 and 4,225.76 is: 5,828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.68 : 8,577.30 = 4,225.76 : x
  2. Step 2: Convert to fraction form
    6,218.68/8,577.30 = 4,225.76/x
  3. Step 3: Cross multiply
    6,218.68x = 8,577.30 × 4,225.76
  4. Step 4: Simplify right side
    6,218.68x = 36,245,611.25
  5. Step 5: Solve for x
    x = 36,245,611.25/6,218.68
  6. Step 6: Final answer
    x = 5,828.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.