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Finding the Fourth Proportional to 4,614.36, 6,922 and 1,840.38

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Solution

The fourth proportional to 4,614.36, 6,922 and 1,840.38 is: 2,760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.36 : 6,922 = 1,840.38 : x
  2. Step 2: Convert to fraction form
    4,614.36/6,922 = 1,840.38/x
  3. Step 3: Cross multiply
    4,614.36x = 6,922 × 1,840.38
  4. Step 4: Simplify right side
    4,614.36x = 12,739,110.36
  5. Step 5: Solve for x
    x = 12,739,110.36/4,614.36
  6. Step 6: Final answer
    x = 2,760.75

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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.