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Finding the Fourth Proportional to 5,822.15, 8,717.64 and 5,078.27

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Solution

The fourth proportional to 5,822.15, 8,717.64 and 5,078.27 is: 7,603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.15 : 8,717.64 = 5,078.27 : x
  2. Step 2: Convert to fraction form
    5,822.15/8,717.64 = 5,078.27/x
  3. Step 3: Cross multiply
    5,822.15x = 8,717.64 × 5,078.27
  4. Step 4: Simplify right side
    5,822.15x = 44,270,486.09
  5. Step 5: Solve for x
    x = 44,270,486.09/5,822.15
  6. Step 6: Final answer
    x = 7,603.80

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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.