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Finding the Fourth Proportional to 6,214.30, 8,575.50 and 3,561.46

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Solution

The fourth proportional to 6,214.30, 8,575.50 and 3,561.46 is: 4,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.30 : 8,575.50 = 3,561.46 : x
  2. Step 2: Convert to fraction form
    6,214.30/8,575.50 = 3,561.46/x
  3. Step 3: Cross multiply
    6,214.30x = 8,575.50 × 3,561.46
  4. Step 4: Simplify right side
    6,214.30x = 30,541,300.23
  5. Step 5: Solve for x
    x = 30,541,300.23/6,214.30
  6. Step 6: Final answer
    x = 4,914.68

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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.