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Finding the Fourth Proportional to 5,340.90, 8,004.60 and 2,049.60

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Solution

The fourth proportional to 5,340.90, 8,004.60 and 2,049.60 is: 3,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.90 : 8,004.60 = 2,049.60 : x
  2. Step 2: Convert to fraction form
    5,340.90/8,004.60 = 2,049.60/x
  3. Step 3: Cross multiply
    5,340.90x = 8,004.60 × 2,049.60
  4. Step 4: Simplify right side
    5,340.90x = 16,406,228.16
  5. Step 5: Solve for x
    x = 16,406,228.16/5,340.90
  6. Step 6: Final answer
    x = 3,071.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.