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Finding the Fourth Proportional to 4,715.25, 7,073.01 and 1,252.50

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Solution

The fourth proportional to 4,715.25, 7,073.01 and 1,252.50 is: 1,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.25 : 7,073.01 = 1,252.50 : x
  2. Step 2: Convert to fraction form
    4,715.25/7,073.01 = 1,252.50/x
  3. Step 3: Cross multiply
    4,715.25x = 7,073.01 × 1,252.50
  4. Step 4: Simplify right side
    4,715.25x = 8,858,945.03
  5. Step 5: Solve for x
    x = 8,858,945.03/4,715.25
  6. Step 6: Final answer
    x = 1,878.79

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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.