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Finding the Fourth Proportional to 5,297.31, 7,946.00 and 1,599.53

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Solution

The fourth proportional to 5,297.31, 7,946.00 and 1,599.53 is: 2,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.31 : 7,946.00 = 1,599.53 : x
  2. Step 2: Convert to fraction form
    5,297.31/7,946.00 = 1,599.53/x
  3. Step 3: Cross multiply
    5,297.31x = 7,946.00 × 1,599.53
  4. Step 4: Simplify right side
    5,297.31x = 12,709,817.65
  5. Step 5: Solve for x
    x = 12,709,817.65/5,297.31
  6. Step 6: Final answer
    x = 2,399.30

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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.