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Finding the Fourth Proportional to 6,514.73, 8,990.09 and 3,530.50

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Solution

The fourth proportional to 6,514.73, 8,990.09 and 3,530.50 is: 4,871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.73 : 8,990.09 = 3,530.50 : x
  2. Step 2: Convert to fraction form
    6,514.73/8,990.09 = 3,530.50/x
  3. Step 3: Cross multiply
    6,514.73x = 8,990.09 × 3,530.50
  4. Step 4: Simplify right side
    6,514.73x = 31,739,485.86
  5. Step 5: Solve for x
    x = 31,739,485.86/6,514.73
  6. Step 6: Final answer
    x = 4,871.96

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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.