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Finding the Fourth Proportional to 5,764.51, 7,938.27 and 5,007.94

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Solution

The fourth proportional to 5,764.51, 7,938.27 and 5,007.94 is: 6,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.51 : 7,938.27 = 5,007.94 : x
  2. Step 2: Convert to fraction form
    5,764.51/7,938.27 = 5,007.94/x
  3. Step 3: Cross multiply
    5,764.51x = 7,938.27 × 5,007.94
  4. Step 4: Simplify right side
    5,764.51x = 39,754,415.23
  5. Step 5: Solve for x
    x = 39,754,415.23/5,764.51
  6. Step 6: Final answer
    x = 6,896.41

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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.