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Finding the Fourth Proportional to 6,397.10, 8,826.13 and 3,744.01

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Solution

The fourth proportional to 6,397.10, 8,826.13 and 3,744.01 is: 5,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.10 : 8,826.13 = 3,744.01 : x
  2. Step 2: Convert to fraction form
    6,397.10/8,826.13 = 3,744.01/x
  3. Step 3: Cross multiply
    6,397.10x = 8,826.13 × 3,744.01
  4. Step 4: Simplify right side
    6,397.10x = 33,045,118.98
  5. Step 5: Solve for x
    x = 33,045,118.98/6,397.10
  6. Step 6: Final answer
    x = 5,165.64

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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.