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Finding the Fourth Proportional to 5,323.13, 7,345.82 and 2,965.22

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Solution

The fourth proportional to 5,323.13, 7,345.82 and 2,965.22 is: 4,091.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.13 : 7,345.82 = 2,965.22 : x
  2. Step 2: Convert to fraction form
    5,323.13/7,345.82 = 2,965.22/x
  3. Step 3: Cross multiply
    5,323.13x = 7,345.82 × 2,965.22
  4. Step 4: Simplify right side
    5,323.13x = 21,781,970.61
  5. Step 5: Solve for x
    x = 21,781,970.61/5,323.13
  6. Step 6: Final answer
    x = 4,091.95

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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.