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Finding the Fourth Proportional to 5,190.40, 7,784.79 and 1,901.80

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Solution

The fourth proportional to 5,190.40, 7,784.79 and 1,901.80 is: 2,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.40 : 7,784.79 = 1,901.80 : x
  2. Step 2: Convert to fraction form
    5,190.40/7,784.79 = 1,901.80/x
  3. Step 3: Cross multiply
    5,190.40x = 7,784.79 × 1,901.80
  4. Step 4: Simplify right side
    5,190.40x = 14,805,113.62
  5. Step 5: Solve for x
    x = 14,805,113.62/5,190.40
  6. Step 6: Final answer
    x = 2,852.40

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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.