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Finding the Fourth Proportional to 5,982.74, 8,970.52 and 2,285.25

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Solution

The fourth proportional to 5,982.74, 8,970.52 and 2,285.25 is: 3,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.74 : 8,970.52 = 2,285.25 : x
  2. Step 2: Convert to fraction form
    5,982.74/8,970.52 = 2,285.25/x
  3. Step 3: Cross multiply
    5,982.74x = 8,970.52 × 2,285.25
  4. Step 4: Simplify right side
    5,982.74x = 20,499,880.83
  5. Step 5: Solve for x
    x = 20,499,880.83/5,982.74
  6. Step 6: Final answer
    x = 3,426.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.