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Finding the Fourth Proportional to 3,551.50, 5,329.98 and 1,605.07

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Solution

The fourth proportional to 3,551.50, 5,329.98 and 1,605.07 is: 2,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.50 : 5,329.98 = 1,605.07 : x
  2. Step 2: Convert to fraction form
    3,551.50/5,329.98 = 1,605.07/x
  3. Step 3: Cross multiply
    3,551.50x = 5,329.98 × 1,605.07
  4. Step 4: Simplify right side
    3,551.50x = 8,554,991.00
  5. Step 5: Solve for x
    x = 8,554,991.00/3,551.50
  6. Step 6: Final answer
    x = 2,408.84

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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.