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Finding the Fourth Proportional to 5,107.62, 7,051.20 and 3,437.80

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Solution

The fourth proportional to 5,107.62, 7,051.20 and 3,437.80 is: 4,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.62 : 7,051.20 = 3,437.80 : x
  2. Step 2: Convert to fraction form
    5,107.62/7,051.20 = 3,437.80/x
  3. Step 3: Cross multiply
    5,107.62x = 7,051.20 × 3,437.80
  4. Step 4: Simplify right side
    5,107.62x = 24,240,615.36
  5. Step 5: Solve for x
    x = 24,240,615.36/5,107.62
  6. Step 6: Final answer
    x = 4,745.97

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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.