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Finding the Fourth Proportional to 5,641.41, 7,783.38 and 3,283.11

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Solution

The fourth proportional to 5,641.41, 7,783.38 and 3,283.11 is: 4,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.41 : 7,783.38 = 3,283.11 : x
  2. Step 2: Convert to fraction form
    5,641.41/7,783.38 = 3,283.11/x
  3. Step 3: Cross multiply
    5,641.41x = 7,783.38 × 3,283.11
  4. Step 4: Simplify right side
    5,641.41x = 25,553,692.71
  5. Step 5: Solve for x
    x = 25,553,692.71/5,641.41
  6. Step 6: Final answer
    x = 4,529.66

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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.