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Finding the Fourth Proportional to 6,095.96, 8,412.38 and 3,443.32

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Solution

The fourth proportional to 6,095.96, 8,412.38 and 3,443.32 is: 4,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.96 : 8,412.38 = 3,443.32 : x
  2. Step 2: Convert to fraction form
    6,095.96/8,412.38 = 3,443.32/x
  3. Step 3: Cross multiply
    6,095.96x = 8,412.38 × 3,443.32
  4. Step 4: Simplify right side
    6,095.96x = 28,966,516.30
  5. Step 5: Solve for x
    x = 28,966,516.30/6,095.96
  6. Step 6: Final answer
    x = 4,751.76

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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.