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Finding the Fourth Proportional to 5,894.82, 8,822.79 and 5,246.82

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Solution

The fourth proportional to 5,894.82, 8,822.79 and 5,246.82 is: 7,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.82 : 8,822.79 = 5,246.82 : x
  2. Step 2: Convert to fraction form
    5,894.82/8,822.79 = 5,246.82/x
  3. Step 3: Cross multiply
    5,894.82x = 8,822.79 × 5,246.82
  4. Step 4: Simplify right side
    5,894.82x = 46,291,591.03
  5. Step 5: Solve for x
    x = 46,291,591.03/5,894.82
  6. Step 6: Final answer
    x = 7,852.93

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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.