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Finding the Fourth Proportional to 8,804.57, 13,209.02 and 2,564.64

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Solution

The fourth proportional to 8,804.57, 13,209.02 and 2,564.64 is: 3,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,804.57 : 13,209.02 = 2,564.64 : x
  2. Step 2: Convert to fraction form
    8,804.57/13,209.02 = 2,564.64/x
  3. Step 3: Cross multiply
    8,804.57x = 13,209.02 × 2,564.64
  4. Step 4: Simplify right side
    8,804.57x = 33,876,420.49
  5. Step 5: Solve for x
    x = 33,876,420.49/8,804.57
  6. Step 6: Final answer
    x = 3,847.59

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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.