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Finding the Fourth Proportional to 5,574.69, 8,351.19 and 3,102

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Solution

The fourth proportional to 5,574.69, 8,351.19 and 3,102 is: 4,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.69 : 8,351.19 = 3,102 : x
  2. Step 2: Convert to fraction form
    5,574.69/8,351.19 = 3,102/x
  3. Step 3: Cross multiply
    5,574.69x = 8,351.19 × 3,102
  4. Step 4: Simplify right side
    5,574.69x = 25,905,391.38
  5. Step 5: Solve for x
    x = 25,905,391.38/5,574.69
  6. Step 6: Final answer
    x = 4,646.97

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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.