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Finding the Fourth Proportional to 3,551.85, 5,328.96 and 1,577.24

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Solution

The fourth proportional to 3,551.85, 5,328.96 and 1,577.24 is: 2,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.85 : 5,328.96 = 1,577.24 : x
  2. Step 2: Convert to fraction form
    3,551.85/5,328.96 = 1,577.24/x
  3. Step 3: Cross multiply
    3,551.85x = 5,328.96 × 1,577.24
  4. Step 4: Simplify right side
    3,551.85x = 8,405,022.23
  5. Step 5: Solve for x
    x = 8,405,022.23/3,551.85
  6. Step 6: Final answer
    x = 2,366.38

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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.