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Finding the Fourth Proportional to 5,190.40, 7,786 and 1,902.68

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Solution

The fourth proportional to 5,190.40, 7,786 and 1,902.68 is: 2,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.40 : 7,786 = 1,902.68 : x
  2. Step 2: Convert to fraction form
    5,190.40/7,786 = 1,902.68/x
  3. Step 3: Cross multiply
    5,190.40x = 7,786 × 1,902.68
  4. Step 4: Simplify right side
    5,190.40x = 14,814,266.48
  5. Step 5: Solve for x
    x = 14,814,266.48/5,190.40
  6. Step 6: Final answer
    x = 2,854.17

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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.