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Finding the Fourth Proportional to 6,514.61, 8,990.19 and 3,530.45

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Solution

The fourth proportional to 6,514.61, 8,990.19 and 3,530.45 is: 4,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.61 : 8,990.19 = 3,530.45 : x
  2. Step 2: Convert to fraction form
    6,514.61/8,990.19 = 3,530.45/x
  3. Step 3: Cross multiply
    6,514.61x = 8,990.19 × 3,530.45
  4. Step 4: Simplify right side
    6,514.61x = 31,739,416.29
  5. Step 5: Solve for x
    x = 31,739,416.29/6,514.61
  6. Step 6: Final answer
    x = 4,872.04

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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.