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Finding the Fourth Proportional to 6,514.74, 8,990.24 and 3,530.54

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Solution

The fourth proportional to 6,514.74, 8,990.24 and 3,530.54 is: 4,872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.74 : 8,990.24 = 3,530.54 : x
  2. Step 2: Convert to fraction form
    6,514.74/8,990.24 = 3,530.54/x
  3. Step 3: Cross multiply
    6,514.74x = 8,990.24 × 3,530.54
  4. Step 4: Simplify right side
    6,514.74x = 31,740,339.33
  5. Step 5: Solve for x
    x = 31,740,339.33/6,514.74
  6. Step 6: Final answer
    x = 4,872.08

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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.