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Finding the Fourth Proportional to 6,326.61, 8,730.81 and 3,494

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Solution

The fourth proportional to 6,326.61, 8,730.81 and 3,494 is: 4,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.61 : 8,730.81 = 3,494 : x
  2. Step 2: Convert to fraction form
    6,326.61/8,730.81 = 3,494/x
  3. Step 3: Cross multiply
    6,326.61x = 8,730.81 × 3,494
  4. Step 4: Simplify right side
    6,326.61x = 30,505,450.14
  5. Step 5: Solve for x
    x = 30,505,450.14/6,326.61
  6. Step 6: Final answer
    x = 4,821.77

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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.