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Finding the Fourth Proportional to 5,285.30, 7,293.38 and 2,927.25

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Solution

The fourth proportional to 5,285.30, 7,293.38 and 2,927.25 is: 4,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.30 : 7,293.38 = 2,927.25 : x
  2. Step 2: Convert to fraction form
    5,285.30/7,293.38 = 2,927.25/x
  3. Step 3: Cross multiply
    5,285.30x = 7,293.38 × 2,927.25
  4. Step 4: Simplify right side
    5,285.30x = 21,349,531.97
  5. Step 5: Solve for x
    x = 21,349,531.97/5,285.30
  6. Step 6: Final answer
    x = 4,039.42

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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.