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Finding the Fourth Proportional to 5,039.47, 7,558.06 and 1,919.82

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Solution

The fourth proportional to 5,039.47, 7,558.06 and 1,919.82 is: 2,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039.47 : 7,558.06 = 1,919.82 : x
  2. Step 2: Convert to fraction form
    5,039.47/7,558.06 = 1,919.82/x
  3. Step 3: Cross multiply
    5,039.47x = 7,558.06 × 1,919.82
  4. Step 4: Simplify right side
    5,039.47x = 14,510,114.75
  5. Step 5: Solve for x
    x = 14,510,114.75/5,039.47
  6. Step 6: Final answer
    x = 2,879.29

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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.