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Finding the Fourth Proportional to 6,397.75, 8,828.64 and 3,565.03

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Solution

The fourth proportional to 6,397.75, 8,828.64 and 3,565.03 is: 4,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.75 : 8,828.64 = 3,565.03 : x
  2. Step 2: Convert to fraction form
    6,397.75/8,828.64 = 3,565.03/x
  3. Step 3: Cross multiply
    6,397.75x = 8,828.64 × 3,565.03
  4. Step 4: Simplify right side
    6,397.75x = 31,474,366.46
  5. Step 5: Solve for x
    x = 31,474,366.46/6,397.75
  6. Step 6: Final answer
    x = 4,919.60

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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.