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Finding the Fourth Proportional to 5,881.54, 8,102.43 and 5,039.56

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Solution

The fourth proportional to 5,881.54, 8,102.43 and 5,039.56 is: 6,942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.54 : 8,102.43 = 5,039.56 : x
  2. Step 2: Convert to fraction form
    5,881.54/8,102.43 = 5,039.56/x
  3. Step 3: Cross multiply
    5,881.54x = 8,102.43 × 5,039.56
  4. Step 4: Simplify right side
    5,881.54x = 40,832,682.13
  5. Step 5: Solve for x
    x = 40,832,682.13/5,881.54
  6. Step 6: Final answer
    x = 6,942.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.