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Finding the Fourth Proportional to 6,152.59, 9,230.35 and 1,992.60

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Solution

The fourth proportional to 6,152.59, 9,230.35 and 1,992.60 is: 2,989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.59 : 9,230.35 = 1,992.60 : x
  2. Step 2: Convert to fraction form
    6,152.59/9,230.35 = 1,992.60/x
  3. Step 3: Cross multiply
    6,152.59x = 9,230.35 × 1,992.60
  4. Step 4: Simplify right side
    6,152.59x = 18,392,339.30
  5. Step 5: Solve for x
    x = 18,392,339.30/6,152.59
  6. Step 6: Final answer
    x = 2,989.37

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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.