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Finding the Fourth Proportional to 5,725.84, 7,901.04 and 4,234.60

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Solution

The fourth proportional to 5,725.84, 7,901.04 and 4,234.60 is: 5,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.84 : 7,901.04 = 4,234.60 : x
  2. Step 2: Convert to fraction form
    5,725.84/7,901.04 = 4,234.60/x
  3. Step 3: Cross multiply
    5,725.84x = 7,901.04 × 4,234.60
  4. Step 4: Simplify right side
    5,725.84x = 33,457,743.98
  5. Step 5: Solve for x
    x = 33,457,743.98/5,725.84
  6. Step 6: Final answer
    x = 5,843.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.