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Finding the Fourth Proportional to 6,191.74, 8,544.99 and 3,397.24

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Solution

The fourth proportional to 6,191.74, 8,544.99 and 3,397.24 is: 4,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.74 : 8,544.99 = 3,397.24 : x
  2. Step 2: Convert to fraction form
    6,191.74/8,544.99 = 3,397.24/x
  3. Step 3: Cross multiply
    6,191.74x = 8,544.99 × 3,397.24
  4. Step 4: Simplify right side
    6,191.74x = 29,029,381.83
  5. Step 5: Solve for x
    x = 29,029,381.83/6,191.74
  6. Step 6: Final answer
    x = 4,688.40

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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.