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Finding the Fourth Proportional to 5,112.95, 7,659.65 and 4,285.31

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Solution

The fourth proportional to 5,112.95, 7,659.65 and 4,285.31 is: 6,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.95 : 7,659.65 = 4,285.31 : x
  2. Step 2: Convert to fraction form
    5,112.95/7,659.65 = 4,285.31/x
  3. Step 3: Cross multiply
    5,112.95x = 7,659.65 × 4,285.31
  4. Step 4: Simplify right side
    5,112.95x = 32,823,915.02
  5. Step 5: Solve for x
    x = 32,823,915.02/5,112.95
  6. Step 6: Final answer
    x = 6,419.77

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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.