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Finding the Fourth Proportional to 6,214.48, 8,575.44 and 3,561.76

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Solution

The fourth proportional to 6,214.48, 8,575.44 and 3,561.76 is: 4,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.48 : 8,575.44 = 3,561.76 : x
  2. Step 2: Convert to fraction form
    6,214.48/8,575.44 = 3,561.76/x
  3. Step 3: Cross multiply
    6,214.48x = 8,575.44 × 3,561.76
  4. Step 4: Simplify right side
    6,214.48x = 30,543,659.17
  5. Step 5: Solve for x
    x = 30,543,659.17/6,214.48
  6. Step 6: Final answer
    x = 4,914.92

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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.