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Finding the Fourth Proportional to 5,287.92, 7,297.58 and 3,192

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Solution

The fourth proportional to 5,287.92, 7,297.58 and 3,192 is: 4,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.92 : 7,297.58 = 3,192 : x
  2. Step 2: Convert to fraction form
    5,287.92/7,297.58 = 3,192/x
  3. Step 3: Cross multiply
    5,287.92x = 7,297.58 × 3,192
  4. Step 4: Simplify right side
    5,287.92x = 23,293,875.36
  5. Step 5: Solve for x
    x = 23,293,875.36/5,287.92
  6. Step 6: Final answer
    x = 4,405.11

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Why These Related Problems?

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