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Finding the Fourth Proportional to 5,297.04, 7,930.44 and 4,203

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Solution

The fourth proportional to 5,297.04, 7,930.44 and 4,203 is: 6,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.04 : 7,930.44 = 4,203 : x
  2. Step 2: Convert to fraction form
    5,297.04/7,930.44 = 4,203/x
  3. Step 3: Cross multiply
    5,297.04x = 7,930.44 × 4,203
  4. Step 4: Simplify right side
    5,297.04x = 33,331,639.32
  5. Step 5: Solve for x
    x = 33,331,639.32/5,297.04
  6. Step 6: Final answer
    x = 6,292.50

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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.