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Finding the Fourth Proportional to 5,975.78, 8,959.34 and 3,051.86

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Solution

The fourth proportional to 5,975.78, 8,959.34 and 3,051.86 is: 4,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.78 : 8,959.34 = 3,051.86 : x
  2. Step 2: Convert to fraction form
    5,975.78/8,959.34 = 3,051.86/x
  3. Step 3: Cross multiply
    5,975.78x = 8,959.34 × 3,051.86
  4. Step 4: Simplify right side
    5,975.78x = 27,342,651.37
  5. Step 5: Solve for x
    x = 27,342,651.37/5,975.78
  6. Step 6: Final answer
    x = 4,575.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.