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Finding the Fourth Proportional to 5,188.72, 7,785.34 and 2,722.94

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Solution

The fourth proportional to 5,188.72, 7,785.34 and 2,722.94 is: 4,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.72 : 7,785.34 = 2,722.94 : x
  2. Step 2: Convert to fraction form
    5,188.72/7,785.34 = 2,722.94/x
  3. Step 3: Cross multiply
    5,188.72x = 7,785.34 × 2,722.94
  4. Step 4: Simplify right side
    5,188.72x = 21,199,013.70
  5. Step 5: Solve for x
    x = 21,199,013.70/5,188.72
  6. Step 6: Final answer
    x = 4,085.60

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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.