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Finding the Fourth Proportional to 5,323.47, 7,345.67 and 2,965.29

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Solution

The fourth proportional to 5,323.47, 7,345.67 and 2,965.29 is: 4,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.47 : 7,345.67 = 2,965.29 : x
  2. Step 2: Convert to fraction form
    5,323.47/7,345.67 = 2,965.29/x
  3. Step 3: Cross multiply
    5,323.47x = 7,345.67 × 2,965.29
  4. Step 4: Simplify right side
    5,323.47x = 21,782,026.97
  5. Step 5: Solve for x
    x = 21,782,026.97/5,323.47
  6. Step 6: Final answer
    x = 4,091.70

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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.