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Finding the Fourth Proportional to 5,884.66, 8,822.67 and 5,072.50

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Solution

The fourth proportional to 5,884.66, 8,822.67 and 5,072.50 is: 7,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.66 : 8,822.67 = 5,072.50 : x
  2. Step 2: Convert to fraction form
    5,884.66/8,822.67 = 5,072.50/x
  3. Step 3: Cross multiply
    5,884.66x = 8,822.67 × 5,072.50
  4. Step 4: Simplify right side
    5,884.66x = 44,752,993.58
  5. Step 5: Solve for x
    x = 44,752,993.58/5,884.66
  6. Step 6: Final answer
    x = 7,605.03

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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.