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Finding the Fourth Proportional to 5,285.60, 7,929.31 and 2,364.13

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Solution

The fourth proportional to 5,285.60, 7,929.31 and 2,364.13 is: 3,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.60 : 7,929.31 = 2,364.13 : x
  2. Step 2: Convert to fraction form
    5,285.60/7,929.31 = 2,364.13/x
  3. Step 3: Cross multiply
    5,285.60x = 7,929.31 × 2,364.13
  4. Step 4: Simplify right side
    5,285.60x = 18,745,893.92
  5. Step 5: Solve for x
    x = 18,745,893.92/5,285.60
  6. Step 6: Final answer
    x = 3,546.60

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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.