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Finding the Fourth Proportional to 5,406.36, 8,098.74 and 4,949.52

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Solution

The fourth proportional to 5,406.36, 8,098.74 and 4,949.52 is: 7,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.36 : 8,098.74 = 4,949.52 : x
  2. Step 2: Convert to fraction form
    5,406.36/8,098.74 = 4,949.52/x
  3. Step 3: Cross multiply
    5,406.36x = 8,098.74 × 4,949.52
  4. Step 4: Simplify right side
    5,406.36x = 40,084,875.60
  5. Step 5: Solve for x
    x = 40,084,875.60/5,406.36
  6. Step 6: Final answer
    x = 7,414.39

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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.