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Finding the Fourth Proportional to 4,600.98, 6,895.71 and 3,623.22

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Solution

The fourth proportional to 4,600.98, 6,895.71 and 3,623.22 is: 5,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.98 : 6,895.71 = 3,623.22 : x
  2. Step 2: Convert to fraction form
    4,600.98/6,895.71 = 3,623.22/x
  3. Step 3: Cross multiply
    4,600.98x = 6,895.71 × 3,623.22
  4. Step 4: Simplify right side
    4,600.98x = 24,984,674.39
  5. Step 5: Solve for x
    x = 24,984,674.39/4,600.98
  6. Step 6: Final answer
    x = 5,430.29

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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.