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Finding the Fourth Proportional to 5,838, 8,760.65 and 2,375.25

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Solution

The fourth proportional to 5,838, 8,760.65 and 2,375.25 is: 3,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838 : 8,760.65 = 2,375.25 : x
  2. Step 2: Convert to fraction form
    5,838/8,760.65 = 2,375.25/x
  3. Step 3: Cross multiply
    5,838x = 8,760.65 × 2,375.25
  4. Step 4: Simplify right side
    5,838x = 20,808,722.04
  5. Step 5: Solve for x
    x = 20,808,722.04/5,838
  6. Step 6: Final answer
    x = 3,564.36

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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.