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Finding the Fourth Proportional to 4,924.52, 7,369.43 and 3,076.50

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Solution

The fourth proportional to 4,924.52, 7,369.43 and 3,076.50 is: 4,603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.52 : 7,369.43 = 3,076.50 : x
  2. Step 2: Convert to fraction form
    4,924.52/7,369.43 = 3,076.50/x
  3. Step 3: Cross multiply
    4,924.52x = 7,369.43 × 3,076.50
  4. Step 4: Simplify right side
    4,924.52x = 22,672,036.01
  5. Step 5: Solve for x
    x = 22,672,036.01/4,924.52
  6. Step 6: Final answer
    x = 4,603.91

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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.