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Finding the Fourth Proportional to 5,215.24, 7,825.50 and 2,295.58

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Solution

The fourth proportional to 5,215.24, 7,825.50 and 2,295.58 is: 3,444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.24 : 7,825.50 = 2,295.58 : x
  2. Step 2: Convert to fraction form
    5,215.24/7,825.50 = 2,295.58/x
  3. Step 3: Cross multiply
    5,215.24x = 7,825.50 × 2,295.58
  4. Step 4: Simplify right side
    5,215.24x = 17,964,061.29
  5. Step 5: Solve for x
    x = 17,964,061.29/5,215.24
  6. Step 6: Final answer
    x = 3,444.53

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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.