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Finding the Fourth Proportional to 4,641.71, 6,994.49 and 3,838.05

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Solution

The fourth proportional to 4,641.71, 6,994.49 and 3,838.05 is: 5,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.71 : 6,994.49 = 3,838.05 : x
  2. Step 2: Convert to fraction form
    4,641.71/6,994.49 = 3,838.05/x
  3. Step 3: Cross multiply
    4,641.71x = 6,994.49 × 3,838.05
  4. Step 4: Simplify right side
    4,641.71x = 26,845,183.15
  5. Step 5: Solve for x
    x = 26,845,183.15/4,641.71
  6. Step 6: Final answer
    x = 5,783.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.