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Finding the Fourth Proportional to 6,514.47, 8,989.92 and 3,530.34

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Solution

The fourth proportional to 6,514.47, 8,989.92 and 3,530.34 is: 4,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.47 : 8,989.92 = 3,530.34 : x
  2. Step 2: Convert to fraction form
    6,514.47/8,989.92 = 3,530.34/x
  3. Step 3: Cross multiply
    6,514.47x = 8,989.92 × 3,530.34
  4. Step 4: Simplify right side
    6,514.47x = 31,737,474.17
  5. Step 5: Solve for x
    x = 31,737,474.17/6,514.47
  6. Step 6: Final answer
    x = 4,871.84

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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.