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Finding the Fourth Proportional to 5,339.90, 8,003.10 and 2,048.60

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Solution

The fourth proportional to 5,339.90, 8,003.10 and 2,048.60 is: 3,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.90 : 8,003.10 = 2,048.60 : x
  2. Step 2: Convert to fraction form
    5,339.90/8,003.10 = 2,048.60/x
  3. Step 3: Cross multiply
    5,339.90x = 8,003.10 × 2,048.60
  4. Step 4: Simplify right side
    5,339.90x = 16,395,150.66
  5. Step 5: Solve for x
    x = 16,395,150.66/5,339.90
  6. Step 6: Final answer
    x = 3,070.31

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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.