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Finding the Fourth Proportional to 4,976.34, 7,464.25 and 3,024.44

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Solution

The fourth proportional to 4,976.34, 7,464.25 and 3,024.44 is: 4,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.34 : 7,464.25 = 3,024.44 : x
  2. Step 2: Convert to fraction form
    4,976.34/7,464.25 = 3,024.44/x
  3. Step 3: Cross multiply
    4,976.34x = 7,464.25 × 3,024.44
  4. Step 4: Simplify right side
    4,976.34x = 22,575,170.72
  5. Step 5: Solve for x
    x = 22,575,170.72/4,976.34
  6. Step 6: Final answer
    x = 4,536.50

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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.