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Finding the Fourth Proportional to 4,190.40, 5,788.80 and 4,060.80

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Solution

The fourth proportional to 4,190.40, 5,788.80 and 4,060.80 is: 5,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.40 : 5,788.80 = 4,060.80 : x
  2. Step 2: Convert to fraction form
    4,190.40/5,788.80 = 4,060.80/x
  3. Step 3: Cross multiply
    4,190.40x = 5,788.80 × 4,060.80
  4. Step 4: Simplify right side
    4,190.40x = 23,507,159.04
  5. Step 5: Solve for x
    x = 23,507,159.04/4,190.40
  6. Step 6: Final answer
    x = 5,609.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.