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Finding the Fourth Proportional to 5,838.90, 8,756 and 2,140.08

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Solution

The fourth proportional to 5,838.90, 8,756 and 2,140.08 is: 3,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.90 : 8,756 = 2,140.08 : x
  2. Step 2: Convert to fraction form
    5,838.90/8,756 = 2,140.08/x
  3. Step 3: Cross multiply
    5,838.90x = 8,756 × 2,140.08
  4. Step 4: Simplify right side
    5,838.90x = 18,738,540.48
  5. Step 5: Solve for x
    x = 18,738,540.48/5,838.90
  6. Step 6: Final answer
    x = 3,209.26

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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.