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Finding the Fourth Proportional to 6,740.84, 9,299.66 and 4,087.28

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Solution

The fourth proportional to 6,740.84, 9,299.66 and 4,087.28 is: 5,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.84 : 9,299.66 = 4,087.28 : x
  2. Step 2: Convert to fraction form
    6,740.84/9,299.66 = 4,087.28/x
  3. Step 3: Cross multiply
    6,740.84x = 9,299.66 × 4,087.28
  4. Step 4: Simplify right side
    6,740.84x = 38,010,247.39
  5. Step 5: Solve for x
    x = 38,010,247.39/6,740.84
  6. Step 6: Final answer
    x = 5,638.80

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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.