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Finding the Fourth Proportional to 4,083.69, 6,124.40 and 1,121.42

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Solution

The fourth proportional to 4,083.69, 6,124.40 and 1,121.42 is: 1,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.69 : 6,124.40 = 1,121.42 : x
  2. Step 2: Convert to fraction form
    4,083.69/6,124.40 = 1,121.42/x
  3. Step 3: Cross multiply
    4,083.69x = 6,124.40 × 1,121.42
  4. Step 4: Simplify right side
    4,083.69x = 6,868,024.65
  5. Step 5: Solve for x
    x = 6,868,024.65/4,083.69
  6. Step 6: Final answer
    x = 1,681.82

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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.