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Finding the Fourth Proportional to 4,605.09, 6,356.22 and 2,838.15

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Solution

The fourth proportional to 4,605.09, 6,356.22 and 2,838.15 is: 3,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.09 : 6,356.22 = 2,838.15 : x
  2. Step 2: Convert to fraction form
    4,605.09/6,356.22 = 2,838.15/x
  3. Step 3: Cross multiply
    4,605.09x = 6,356.22 × 2,838.15
  4. Step 4: Simplify right side
    4,605.09x = 18,039,905.79
  5. Step 5: Solve for x
    x = 18,039,905.79/4,605.09
  6. Step 6: Final answer
    x = 3,917.38

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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.