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Finding the Fourth Proportional to 6,062.31, 8,365.68 and 3,410.55

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Solution

The fourth proportional to 6,062.31, 8,365.68 and 3,410.55 is: 4,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062.31 : 8,365.68 = 3,410.55 : x
  2. Step 2: Convert to fraction form
    6,062.31/8,365.68 = 3,410.55/x
  3. Step 3: Cross multiply
    6,062.31x = 8,365.68 × 3,410.55
  4. Step 4: Simplify right side
    6,062.31x = 28,531,569.92
  5. Step 5: Solve for x
    x = 28,531,569.92/6,062.31
  6. Step 6: Final answer
    x = 4,706.39

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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.