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Finding the Fourth Proportional to 3,656.61, 5,485.49 and 1,577.21

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Solution

The fourth proportional to 3,656.61, 5,485.49 and 1,577.21 is: 2,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.61 : 5,485.49 = 1,577.21 : x
  2. Step 2: Convert to fraction form
    3,656.61/5,485.49 = 1,577.21/x
  3. Step 3: Cross multiply
    3,656.61x = 5,485.49 × 1,577.21
  4. Step 4: Simplify right side
    3,656.61x = 8,651,734.37
  5. Step 5: Solve for x
    x = 8,651,734.37/3,656.61
  6. Step 6: Final answer
    x = 2,366.05

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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.