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Finding the Fourth Proportional to 5,763.64, 8,646 and 3,469.72

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Solution

The fourth proportional to 5,763.64, 8,646 and 3,469.72 is: 5,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.64 : 8,646 = 3,469.72 : x
  2. Step 2: Convert to fraction form
    5,763.64/8,646 = 3,469.72/x
  3. Step 3: Cross multiply
    5,763.64x = 8,646 × 3,469.72
  4. Step 4: Simplify right side
    5,763.64x = 29,999,199.12
  5. Step 5: Solve for x
    x = 29,999,199.12/5,763.64
  6. Step 6: Final answer
    x = 5,204.91

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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.