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Finding the Fourth Proportional to 4,834.98, 7,257.34 and 3,532.50

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Solution

The fourth proportional to 4,834.98, 7,257.34 and 3,532.50 is: 5,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.98 : 7,257.34 = 3,532.50 : x
  2. Step 2: Convert to fraction form
    4,834.98/7,257.34 = 3,532.50/x
  3. Step 3: Cross multiply
    4,834.98x = 7,257.34 × 3,532.50
  4. Step 4: Simplify right side
    4,834.98x = 25,636,553.55
  5. Step 5: Solve for x
    x = 25,636,553.55/4,834.98
  6. Step 6: Final answer
    x = 5,302.31

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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.