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Finding the Fourth Proportional to 6,514.60, 8,990.10 and 3,530.44

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Solution

The fourth proportional to 6,514.60, 8,990.10 and 3,530.44 is: 4,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.60 : 8,990.10 = 3,530.44 : x
  2. Step 2: Convert to fraction form
    6,514.60/8,990.10 = 3,530.44/x
  3. Step 3: Cross multiply
    6,514.60x = 8,990.10 × 3,530.44
  4. Step 4: Simplify right side
    6,514.60x = 31,739,008.64
  5. Step 5: Solve for x
    x = 31,739,008.64/6,514.60
  6. Step 6: Final answer
    x = 4,871.98

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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.