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Finding the Fourth Proportional to 5,143.40, 7,704.30 and 4,042.52

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Solution

The fourth proportional to 5,143.40, 7,704.30 and 4,042.52 is: 6,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.40 : 7,704.30 = 4,042.52 : x
  2. Step 2: Convert to fraction form
    5,143.40/7,704.30 = 4,042.52/x
  3. Step 3: Cross multiply
    5,143.40x = 7,704.30 × 4,042.52
  4. Step 4: Simplify right side
    5,143.40x = 31,144,786.84
  5. Step 5: Solve for x
    x = 31,144,786.84/5,143.40
  6. Step 6: Final answer
    x = 6,055.29

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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.