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Finding the Fourth Proportional to 5,263.82, 7,896.51 and 1,752.68

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Solution

The fourth proportional to 5,263.82, 7,896.51 and 1,752.68 is: 2,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.82 : 7,896.51 = 1,752.68 : x
  2. Step 2: Convert to fraction form
    5,263.82/7,896.51 = 1,752.68/x
  3. Step 3: Cross multiply
    5,263.82x = 7,896.51 × 1,752.68
  4. Step 4: Simplify right side
    5,263.82x = 13,840,055.15
  5. Step 5: Solve for x
    x = 13,840,055.15/5,263.82
  6. Step 6: Final answer
    x = 2,629.28

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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.