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Finding the Fourth Proportional to 6,471.16, 8,930.16 and 3,676.66

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Solution

The fourth proportional to 6,471.16, 8,930.16 and 3,676.66 is: 5,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.16 : 8,930.16 = 3,676.66 : x
  2. Step 2: Convert to fraction form
    6,471.16/8,930.16 = 3,676.66/x
  3. Step 3: Cross multiply
    6,471.16x = 8,930.16 × 3,676.66
  4. Step 4: Simplify right side
    6,471.16x = 32,833,162.07
  5. Step 5: Solve for x
    x = 32,833,162.07/6,471.16
  6. Step 6: Final answer
    x = 5,073.77

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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.