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Finding the Fourth Proportional to 6,092.16, 8,407.32 and 3,439.32

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Solution

The fourth proportional to 6,092.16, 8,407.32 and 3,439.32 is: 4,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.16 : 8,407.32 = 3,439.32 : x
  2. Step 2: Convert to fraction form
    6,092.16/8,407.32 = 3,439.32/x
  3. Step 3: Cross multiply
    6,092.16x = 8,407.32 × 3,439.32
  4. Step 4: Simplify right side
    6,092.16x = 28,915,463.82
  5. Step 5: Solve for x
    x = 28,915,463.82/6,092.16
  6. Step 6: Final answer
    x = 4,746.34

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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.