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Finding the Fourth Proportional to 5,344.34, 8,016.55 and 1,646.60

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Solution

The fourth proportional to 5,344.34, 8,016.55 and 1,646.60 is: 2,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.34 : 8,016.55 = 1,646.60 : x
  2. Step 2: Convert to fraction form
    5,344.34/8,016.55 = 1,646.60/x
  3. Step 3: Cross multiply
    5,344.34x = 8,016.55 × 1,646.60
  4. Step 4: Simplify right side
    5,344.34x = 13,200,051.23
  5. Step 5: Solve for x
    x = 13,200,051.23/5,344.34
  6. Step 6: Final answer
    x = 2,469.91

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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.