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Finding the Fourth Proportional to 4,602, 6,346.32 and 3,092.96

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Solution

The fourth proportional to 4,602, 6,346.32 and 3,092.96 is: 4,265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602 : 6,346.32 = 3,092.96 : x
  2. Step 2: Convert to fraction form
    4,602/6,346.32 = 3,092.96/x
  3. Step 3: Cross multiply
    4,602x = 6,346.32 × 3,092.96
  4. Step 4: Simplify right side
    4,602x = 19,628,913.91
  5. Step 5: Solve for x
    x = 19,628,913.91/4,602
  6. Step 6: Final answer
    x = 4,265.30

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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.