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Finding the Fourth Proportional to 5,474.06, 8,203.52 and 4,741.82

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Solution

The fourth proportional to 5,474.06, 8,203.52 and 4,741.82 is: 7,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.06 : 8,203.52 = 4,741.82 : x
  2. Step 2: Convert to fraction form
    5,474.06/8,203.52 = 4,741.82/x
  3. Step 3: Cross multiply
    5,474.06x = 8,203.52 × 4,741.82
  4. Step 4: Simplify right side
    5,474.06x = 38,899,550.48
  5. Step 5: Solve for x
    x = 38,899,550.48/5,474.06
  6. Step 6: Final answer
    x = 7,106.17

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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.