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Finding the Fourth Proportional to 5,147.08, 7,721.34 and 1,683.64

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Solution

The fourth proportional to 5,147.08, 7,721.34 and 1,683.64 is: 2,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.08 : 7,721.34 = 1,683.64 : x
  2. Step 2: Convert to fraction form
    5,147.08/7,721.34 = 1,683.64/x
  3. Step 3: Cross multiply
    5,147.08x = 7,721.34 × 1,683.64
  4. Step 4: Simplify right side
    5,147.08x = 12,999,956.88
  5. Step 5: Solve for x
    x = 12,999,956.88/5,147.08
  6. Step 6: Final answer
    x = 2,525.70

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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.