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Finding the Fourth Proportional to 5,641.64, 7,783.70 and 3,251.29

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Solution

The fourth proportional to 5,641.64, 7,783.70 and 3,251.29 is: 4,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.64 : 7,783.70 = 3,251.29 : x
  2. Step 2: Convert to fraction form
    5,641.64/7,783.70 = 3,251.29/x
  3. Step 3: Cross multiply
    5,641.64x = 7,783.70 × 3,251.29
  4. Step 4: Simplify right side
    5,641.64x = 25,307,028.26
  5. Step 5: Solve for x
    x = 25,307,028.26/5,641.64
  6. Step 6: Final answer
    x = 4,485.76

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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.