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Finding the Fourth Proportional to 5,641.85, 7,783.09 and 3,754.35

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Solution

The fourth proportional to 5,641.85, 7,783.09 and 3,754.35 is: 5,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.85 : 7,783.09 = 3,754.35 : x
  2. Step 2: Convert to fraction form
    5,641.85/7,783.09 = 3,754.35/x
  3. Step 3: Cross multiply
    5,641.85x = 7,783.09 × 3,754.35
  4. Step 4: Simplify right side
    5,641.85x = 29,220,443.94
  5. Step 5: Solve for x
    x = 29,220,443.94/5,641.85
  6. Step 6: Final answer
    x = 5,179.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.