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Finding the Fourth Proportional to 5,782.58, 7,978.34 and 3,629.41

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Solution

The fourth proportional to 5,782.58, 7,978.34 and 3,629.41 is: 5,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.58 : 7,978.34 = 3,629.41 : x
  2. Step 2: Convert to fraction form
    5,782.58/7,978.34 = 3,629.41/x
  3. Step 3: Cross multiply
    5,782.58x = 7,978.34 × 3,629.41
  4. Step 4: Simplify right side
    5,782.58x = 28,956,681.08
  5. Step 5: Solve for x
    x = 28,956,681.08/5,782.58
  6. Step 6: Final answer
    x = 5,007.57

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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.