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Finding the Fourth Proportional to 4,506.34, 6,747.18 and 3,407.44

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Solution

The fourth proportional to 4,506.34, 6,747.18 and 3,407.44 is: 5,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.34 : 6,747.18 = 3,407.44 : x
  2. Step 2: Convert to fraction form
    4,506.34/6,747.18 = 3,407.44/x
  3. Step 3: Cross multiply
    4,506.34x = 6,747.18 × 3,407.44
  4. Step 4: Simplify right side
    4,506.34x = 22,990,611.02
  5. Step 5: Solve for x
    x = 22,990,611.02/4,506.34
  6. Step 6: Final answer
    x = 5,101.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.