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Finding the Fourth Proportional to 4,734.98, 7,108.50 and 4,537.22

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Solution

The fourth proportional to 4,734.98, 7,108.50 and 4,537.22 is: 6,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.98 : 7,108.50 = 4,537.22 : x
  2. Step 2: Convert to fraction form
    4,734.98/7,108.50 = 4,537.22/x
  3. Step 3: Cross multiply
    4,734.98x = 7,108.50 × 4,537.22
  4. Step 4: Simplify right side
    4,734.98x = 32,252,828.37
  5. Step 5: Solve for x
    x = 32,252,828.37/4,734.98
  6. Step 6: Final answer
    x = 6,811.61

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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.