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Finding the Fourth Proportional to 4,963.50, 7,448.70 and 1,885.50

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Solution

The fourth proportional to 4,963.50, 7,448.70 and 1,885.50 is: 2,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.50 : 7,448.70 = 1,885.50 : x
  2. Step 2: Convert to fraction form
    4,963.50/7,448.70 = 1,885.50/x
  3. Step 3: Cross multiply
    4,963.50x = 7,448.70 × 1,885.50
  4. Step 4: Simplify right side
    4,963.50x = 14,044,523.85
  5. Step 5: Solve for x
    x = 14,044,523.85/4,963.50
  6. Step 6: Final answer
    x = 2,829.56

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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.