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Finding the Fourth Proportional to 5,865.36, 8,093.34 and 3,507

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Solution

The fourth proportional to 5,865.36, 8,093.34 and 3,507 is: 4,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.36 : 8,093.34 = 3,507 : x
  2. Step 2: Convert to fraction form
    5,865.36/8,093.34 = 3,507/x
  3. Step 3: Cross multiply
    5,865.36x = 8,093.34 × 3,507
  4. Step 4: Simplify right side
    5,865.36x = 28,383,343.38
  5. Step 5: Solve for x
    x = 28,383,343.38/5,865.36
  6. Step 6: Final answer
    x = 4,839.15

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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.