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Finding the Fourth Proportional to 5,846.16, 8,065.38 and 3,604.14

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Solution

The fourth proportional to 5,846.16, 8,065.38 and 3,604.14 is: 4,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.16 : 8,065.38 = 3,604.14 : x
  2. Step 2: Convert to fraction form
    5,846.16/8,065.38 = 3,604.14/x
  3. Step 3: Cross multiply
    5,846.16x = 8,065.38 × 3,604.14
  4. Step 4: Simplify right side
    5,846.16x = 29,068,758.67
  5. Step 5: Solve for x
    x = 29,068,758.67/5,846.16
  6. Step 6: Final answer
    x = 4,972.28

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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.