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Finding the Fourth Proportional to 5,047.54, 6,965.58 and 2,809.60

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Solution

The fourth proportional to 5,047.54, 6,965.58 and 2,809.60 is: 3,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.54 : 6,965.58 = 2,809.60 : x
  2. Step 2: Convert to fraction form
    5,047.54/6,965.58 = 2,809.60/x
  3. Step 3: Cross multiply
    5,047.54x = 6,965.58 × 2,809.60
  4. Step 4: Simplify right side
    5,047.54x = 19,570,493.57
  5. Step 5: Solve for x
    x = 19,570,493.57/5,047.54
  6. Step 6: Final answer
    x = 3,877.23

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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.