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Finding the Fourth Proportional to 5,333.82, 7,360.64 and 2,975.96

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Solution

The fourth proportional to 5,333.82, 7,360.64 and 2,975.96 is: 4,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.82 : 7,360.64 = 2,975.96 : x
  2. Step 2: Convert to fraction form
    5,333.82/7,360.64 = 2,975.96/x
  3. Step 3: Cross multiply
    5,333.82x = 7,360.64 × 2,975.96
  4. Step 4: Simplify right side
    5,333.82x = 21,904,959.25
  5. Step 5: Solve for x
    x = 21,904,959.25/5,333.82
  6. Step 6: Final answer
    x = 4,106.81

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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.