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Finding the Fourth Proportional to 3,577, 4,936.26 and 2,335

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Solution

The fourth proportional to 3,577, 4,936.26 and 2,335 is: 3,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577 : 4,936.26 = 2,335 : x
  2. Step 2: Convert to fraction form
    3,577/4,936.26 = 2,335/x
  3. Step 3: Cross multiply
    3,577x = 4,936.26 × 2,335
  4. Step 4: Simplify right side
    3,577x = 11,526,167.10
  5. Step 5: Solve for x
    x = 11,526,167.10/3,577
  6. Step 6: Final answer
    x = 3,222.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.