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Finding the Fourth Proportional to 3,577.88, 4,936.29 and 2,319.90

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Solution

The fourth proportional to 3,577.88, 4,936.29 and 2,319.90 is: 3,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.88 : 4,936.29 = 2,319.90 : x
  2. Step 2: Convert to fraction form
    3,577.88/4,936.29 = 2,319.90/x
  3. Step 3: Cross multiply
    3,577.88x = 4,936.29 × 2,319.90
  4. Step 4: Simplify right side
    3,577.88x = 11,451,699.17
  5. Step 5: Solve for x
    x = 11,451,699.17/3,577.88
  6. Step 6: Final answer
    x = 3,200.70

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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.