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Finding the Fourth Proportional to 5,215.50, 7,823.25 and 1,752.75

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Solution

The fourth proportional to 5,215.50, 7,823.25 and 1,752.75 is: 2,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.50 : 7,823.25 = 1,752.75 : x
  2. Step 2: Convert to fraction form
    5,215.50/7,823.25 = 1,752.75/x
  3. Step 3: Cross multiply
    5,215.50x = 7,823.25 × 1,752.75
  4. Step 4: Simplify right side
    5,215.50x = 13,712,201.44
  5. Step 5: Solve for x
    x = 13,712,201.44/5,215.50
  6. Step 6: Final answer
    x = 2,629.13

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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.