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Finding the Fourth Proportional to 3,577, 5,367.66 and 1,525

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Solution

The fourth proportional to 3,577, 5,367.66 and 1,525 is: 2,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577 : 5,367.66 = 1,525 : x
  2. Step 2: Convert to fraction form
    3,577/5,367.66 = 1,525/x
  3. Step 3: Cross multiply
    3,577x = 5,367.66 × 1,525
  4. Step 4: Simplify right side
    3,577x = 8,185,681.50
  5. Step 5: Solve for x
    x = 8,185,681.50/3,577
  6. Step 6: Final answer
    x = 2,288.42

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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.