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Finding the Fourth Proportional to 5,202.63, 7,805.08 and 1,505.01

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Solution

The fourth proportional to 5,202.63, 7,805.08 and 1,505.01 is: 2,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.63 : 7,805.08 = 1,505.01 : x
  2. Step 2: Convert to fraction form
    5,202.63/7,805.08 = 1,505.01/x
  3. Step 3: Cross multiply
    5,202.63x = 7,805.08 × 1,505.01
  4. Step 4: Simplify right side
    5,202.63x = 11,746,692.98
  5. Step 5: Solve for x
    x = 11,746,692.98/5,202.63
  6. Step 6: Final answer
    x = 2,257.84

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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.