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Finding the Fourth Proportional to 5,103.45, 7,648.04 and 2,758.40

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Solution

The fourth proportional to 5,103.45, 7,648.04 and 2,758.40 is: 4,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.45 : 7,648.04 = 2,758.40 : x
  2. Step 2: Convert to fraction form
    5,103.45/7,648.04 = 2,758.40/x
  3. Step 3: Cross multiply
    5,103.45x = 7,648.04 × 2,758.40
  4. Step 4: Simplify right side
    5,103.45x = 21,096,353.54
  5. Step 5: Solve for x
    x = 21,096,353.54/5,103.45
  6. Step 6: Final answer
    x = 4,133.74

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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.