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Finding the Fourth Proportional to 6,084.93, 8,397.50 and 3,567

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Solution

The fourth proportional to 6,084.93, 8,397.50 and 3,567 is: 4,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.93 : 8,397.50 = 3,567 : x
  2. Step 2: Convert to fraction form
    6,084.93/8,397.50 = 3,567/x
  3. Step 3: Cross multiply
    6,084.93x = 8,397.50 × 3,567
  4. Step 4: Simplify right side
    6,084.93x = 29,953,864.67
  5. Step 5: Solve for x
    x = 29,953,864.67/6,084.93
  6. Step 6: Final answer
    x = 4,922.63

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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.