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Finding the Fourth Proportional to 5,764.59, 7,938.36 and 5,008.02

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Solution

The fourth proportional to 5,764.59, 7,938.36 and 5,008.02 is: 6,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.59 : 7,938.36 = 5,008.02 : x
  2. Step 2: Convert to fraction form
    5,764.59/7,938.36 = 5,008.02/x
  3. Step 3: Cross multiply
    5,764.59x = 7,938.36 × 5,008.02
  4. Step 4: Simplify right side
    5,764.59x = 39,755,465.65
  5. Step 5: Solve for x
    x = 39,755,465.65/5,764.59
  6. Step 6: Final answer
    x = 6,896.49

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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.