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Finding the Fourth Proportional to 3,577.61, 5,365.96 and 1,384.84

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Solution

The fourth proportional to 3,577.61, 5,365.96 and 1,384.84 is: 2,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.61 : 5,365.96 = 1,384.84 : x
  2. Step 2: Convert to fraction form
    3,577.61/5,365.96 = 1,384.84/x
  3. Step 3: Cross multiply
    3,577.61x = 5,365.96 × 1,384.84
  4. Step 4: Simplify right side
    3,577.61x = 7,430,996.05
  5. Step 5: Solve for x
    x = 7,430,996.05/3,577.61
  6. Step 6: Final answer
    x = 2,077.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.