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Finding the Fourth Proportional to 5,120.69, 7,681.03 and 1,422.92

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Solution

The fourth proportional to 5,120.69, 7,681.03 and 1,422.92 is: 2,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.69 : 7,681.03 = 1,422.92 : x
  2. Step 2: Convert to fraction form
    5,120.69/7,681.03 = 1,422.92/x
  3. Step 3: Cross multiply
    5,120.69x = 7,681.03 × 1,422.92
  4. Step 4: Simplify right side
    5,120.69x = 10,929,463.65
  5. Step 5: Solve for x
    x = 10,929,463.65/5,120.69
  6. Step 6: Final answer
    x = 2,134.38

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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.