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Finding the Fourth Proportional to 5,188.39, 7,782.51 and 1,901.44

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Solution

The fourth proportional to 5,188.39, 7,782.51 and 1,901.44 is: 2,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.39 : 7,782.51 = 1,901.44 : x
  2. Step 2: Convert to fraction form
    5,188.39/7,782.51 = 1,901.44/x
  3. Step 3: Cross multiply
    5,188.39x = 7,782.51 × 1,901.44
  4. Step 4: Simplify right side
    5,188.39x = 14,797,992.67
  5. Step 5: Solve for x
    x = 14,797,992.67/5,188.39
  6. Step 6: Final answer
    x = 2,852.14

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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.