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Finding the Fourth Proportional to 6,032.98, 8,326.11 and 3,380.47

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Solution

The fourth proportional to 6,032.98, 8,326.11 and 3,380.47 is: 4,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.98 : 8,326.11 = 3,380.47 : x
  2. Step 2: Convert to fraction form
    6,032.98/8,326.11 = 3,380.47/x
  3. Step 3: Cross multiply
    6,032.98x = 8,326.11 × 3,380.47
  4. Step 4: Simplify right side
    6,032.98x = 28,146,165.07
  5. Step 5: Solve for x
    x = 28,146,165.07/6,032.98
  6. Step 6: Final answer
    x = 4,665.38

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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.