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Finding the Fourth Proportional to 5,122.35, 7,685.34 and 1,659.60

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Solution

The fourth proportional to 5,122.35, 7,685.34 and 1,659.60 is: 2,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.35 : 7,685.34 = 1,659.60 : x
  2. Step 2: Convert to fraction form
    5,122.35/7,685.34 = 1,659.60/x
  3. Step 3: Cross multiply
    5,122.35x = 7,685.34 × 1,659.60
  4. Step 4: Simplify right side
    5,122.35x = 12,754,590.26
  5. Step 5: Solve for x
    x = 12,754,590.26/5,122.35
  6. Step 6: Final answer
    x = 2,489.99

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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.