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Finding the Fourth Proportional to 7,205.19, 10,798.37 and 3,692.22

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Solution

The fourth proportional to 7,205.19, 10,798.37 and 3,692.22 is: 5,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.19 : 10,798.37 = 3,692.22 : x
  2. Step 2: Convert to fraction form
    7,205.19/10,798.37 = 3,692.22/x
  3. Step 3: Cross multiply
    7,205.19x = 10,798.37 × 3,692.22
  4. Step 4: Simplify right side
    7,205.19x = 39,869,939.22
  5. Step 5: Solve for x
    x = 39,869,939.22/7,205.19
  6. Step 6: Final answer
    x = 5,533.50

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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.