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Finding the Fourth Proportional to 4,313.66, 6,471.50 and 1,391.72

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Solution

The fourth proportional to 4,313.66, 6,471.50 and 1,391.72 is: 2,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.66 : 6,471.50 = 1,391.72 : x
  2. Step 2: Convert to fraction form
    4,313.66/6,471.50 = 1,391.72/x
  3. Step 3: Cross multiply
    4,313.66x = 6,471.50 × 1,391.72
  4. Step 4: Simplify right side
    4,313.66x = 9,006,476.66
  5. Step 5: Solve for x
    x = 9,006,476.66/4,313.66
  6. Step 6: Final answer
    x = 2,087.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.