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Finding the Fourth Proportional to 5,825.52, 8,032.23 and 4,759.34

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Solution

The fourth proportional to 5,825.52, 8,032.23 and 4,759.34 is: 6,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.52 : 8,032.23 = 4,759.34 : x
  2. Step 2: Convert to fraction form
    5,825.52/8,032.23 = 4,759.34/x
  3. Step 3: Cross multiply
    5,825.52x = 8,032.23 × 4,759.34
  4. Step 4: Simplify right side
    5,825.52x = 38,228,073.37
  5. Step 5: Solve for x
    x = 38,228,073.37/5,825.52
  6. Step 6: Final answer
    x = 6,562.17

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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.