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Finding the Fourth Proportional to 5,850.32, 8,071.08 and 3,491.12

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Solution

The fourth proportional to 5,850.32, 8,071.08 and 3,491.12 is: 4,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.32 : 8,071.08 = 3,491.12 : x
  2. Step 2: Convert to fraction form
    5,850.32/8,071.08 = 3,491.12/x
  3. Step 3: Cross multiply
    5,850.32x = 8,071.08 × 3,491.12
  4. Step 4: Simplify right side
    5,850.32x = 28,177,108.81
  5. Step 5: Solve for x
    x = 28,177,108.81/5,850.32
  6. Step 6: Final answer
    x = 4,816.34

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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.