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Finding the Fourth Proportional to 6,469.78, 8,928.23 and 3,637.64

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Solution

The fourth proportional to 6,469.78, 8,928.23 and 3,637.64 is: 5,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.78 : 8,928.23 = 3,637.64 : x
  2. Step 2: Convert to fraction form
    6,469.78/8,928.23 = 3,637.64/x
  3. Step 3: Cross multiply
    6,469.78x = 8,928.23 × 3,637.64
  4. Step 4: Simplify right side
    6,469.78x = 32,477,686.58
  5. Step 5: Solve for x
    x = 32,477,686.58/6,469.78
  6. Step 6: Final answer
    x = 5,019.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.