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Finding the Fourth Proportional to 3,293.52, 4,941.09 and 3,023.52

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Solution

The fourth proportional to 3,293.52, 4,941.09 and 3,023.52 is: 4,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.52 : 4,941.09 = 3,023.52 : x
  2. Step 2: Convert to fraction form
    3,293.52/4,941.09 = 3,023.52/x
  3. Step 3: Cross multiply
    3,293.52x = 4,941.09 × 3,023.52
  4. Step 4: Simplify right side
    3,293.52x = 14,939,484.44
  5. Step 5: Solve for x
    x = 14,939,484.44/3,293.52
  6. Step 6: Final answer
    x = 4,536.02

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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.