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Finding the Fourth Proportional to 5,946.69, 8,913.81 and 3,868.13

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Solution

The fourth proportional to 5,946.69, 8,913.81 and 3,868.13 is: 5,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.69 : 8,913.81 = 3,868.13 : x
  2. Step 2: Convert to fraction form
    5,946.69/8,913.81 = 3,868.13/x
  3. Step 3: Cross multiply
    5,946.69x = 8,913.81 × 3,868.13
  4. Step 4: Simplify right side
    5,946.69x = 34,479,775.88
  5. Step 5: Solve for x
    x = 34,479,775.88/5,946.69
  6. Step 6: Final answer
    x = 5,798.15

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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.