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Finding the Fourth Proportional to 5,188.53, 7,780.05 and 2,263.41

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Solution

The fourth proportional to 5,188.53, 7,780.05 and 2,263.41 is: 3,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.53 : 7,780.05 = 2,263.41 : x
  2. Step 2: Convert to fraction form
    5,188.53/7,780.05 = 2,263.41/x
  3. Step 3: Cross multiply
    5,188.53x = 7,780.05 × 2,263.41
  4. Step 4: Simplify right side
    5,188.53x = 17,609,442.97
  5. Step 5: Solve for x
    x = 17,609,442.97/5,188.53
  6. Step 6: Final answer
    x = 3,393.92

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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.