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Finding the Fourth Proportional to 3,750.94, 5,638.56 and 3,480.40

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Solution

The fourth proportional to 3,750.94, 5,638.56 and 3,480.40 is: 5,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.94 : 5,638.56 = 3,480.40 : x
  2. Step 2: Convert to fraction form
    3,750.94/5,638.56 = 3,480.40/x
  3. Step 3: Cross multiply
    3,750.94x = 5,638.56 × 3,480.40
  4. Step 4: Simplify right side
    3,750.94x = 19,624,444.22
  5. Step 5: Solve for x
    x = 19,624,444.22/3,750.94
  6. Step 6: Final answer
    x = 5,231.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.