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Finding the Fourth Proportional to 5,340.50, 7,369.74 and 2,950.32

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Solution

The fourth proportional to 5,340.50, 7,369.74 and 2,950.32 is: 4,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.50 : 7,369.74 = 2,950.32 : x
  2. Step 2: Convert to fraction form
    5,340.50/7,369.74 = 2,950.32/x
  3. Step 3: Cross multiply
    5,340.50x = 7,369.74 × 2,950.32
  4. Step 4: Simplify right side
    5,340.50x = 21,743,091.32
  5. Step 5: Solve for x
    x = 21,743,091.32/5,340.50
  6. Step 6: Final answer
    x = 4,071.36

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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.