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Finding the Fourth Proportional to 5,120.80, 7,681.14 and 4,425.34

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Solution

The fourth proportional to 5,120.80, 7,681.14 and 4,425.34 is: 6,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.80 : 7,681.14 = 4,425.34 : x
  2. Step 2: Convert to fraction form
    5,120.80/7,681.14 = 4,425.34/x
  3. Step 3: Cross multiply
    5,120.80x = 7,681.14 × 4,425.34
  4. Step 4: Simplify right side
    5,120.80x = 33,991,656.09
  5. Step 5: Solve for x
    x = 33,991,656.09/5,120.80
  6. Step 6: Final answer
    x = 6,637.96

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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.