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Finding the Fourth Proportional to 5,825.52, 8,735.04 and 3,053.52

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Solution

The fourth proportional to 5,825.52, 8,735.04 and 3,053.52 is: 4,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.52 : 8,735.04 = 3,053.52 : x
  2. Step 2: Convert to fraction form
    5,825.52/8,735.04 = 3,053.52/x
  3. Step 3: Cross multiply
    5,825.52x = 8,735.04 × 3,053.52
  4. Step 4: Simplify right side
    5,825.52x = 26,672,619.34
  5. Step 5: Solve for x
    x = 26,672,619.34/5,825.52
  6. Step 6: Final answer
    x = 4,578.58

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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.