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Finding the Fourth Proportional to 5,215.32, 7,822.98 and 1,755

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Solution

The fourth proportional to 5,215.32, 7,822.98 and 1,755 is: 2,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.32 : 7,822.98 = 1,755 : x
  2. Step 2: Convert to fraction form
    5,215.32/7,822.98 = 1,755/x
  3. Step 3: Cross multiply
    5,215.32x = 7,822.98 × 1,755
  4. Step 4: Simplify right side
    5,215.32x = 13,729,329.90
  5. Step 5: Solve for x
    x = 13,729,329.90/5,215.32
  6. Step 6: Final answer
    x = 2,632.50

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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.