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Finding the Fourth Proportional to 5,563.62, 8,338.23 and 4,868.64

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Solution

The fourth proportional to 5,563.62, 8,338.23 and 4,868.64 is: 7,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.62 : 8,338.23 = 4,868.64 : x
  2. Step 2: Convert to fraction form
    5,563.62/8,338.23 = 4,868.64/x
  3. Step 3: Cross multiply
    5,563.62x = 8,338.23 × 4,868.64
  4. Step 4: Simplify right side
    5,563.62x = 40,595,840.11
  5. Step 5: Solve for x
    x = 40,595,840.11/5,563.62
  6. Step 6: Final answer
    x = 7,296.66

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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.