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Finding the Fourth Proportional to 5,807.49, 8,725.49 and 3,728.36

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Solution

The fourth proportional to 5,807.49, 8,725.49 and 3,728.36 is: 5,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.49 : 8,725.49 = 3,728.36 : x
  2. Step 2: Convert to fraction form
    5,807.49/8,725.49 = 3,728.36/x
  3. Step 3: Cross multiply
    5,807.49x = 8,725.49 × 3,728.36
  4. Step 4: Simplify right side
    5,807.49x = 32,531,705.63
  5. Step 5: Solve for x
    x = 32,531,705.63/5,807.49
  6. Step 6: Final answer
    x = 5,601.68

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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.