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Finding the Fourth Proportional to 5,121.69, 7,683.75 and 1,658.94

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Solution

The fourth proportional to 5,121.69, 7,683.75 and 1,658.94 is: 2,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.69 : 7,683.75 = 1,658.94 : x
  2. Step 2: Convert to fraction form
    5,121.69/7,683.75 = 1,658.94/x
  3. Step 3: Cross multiply
    5,121.69x = 7,683.75 × 1,658.94
  4. Step 4: Simplify right side
    5,121.69x = 12,746,880.23
  5. Step 5: Solve for x
    x = 12,746,880.23/5,121.69
  6. Step 6: Final answer
    x = 2,488.80

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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.