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Finding the Fourth Proportional to 3,720.77, 5,577.27 and 1,254.74

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Solution

The fourth proportional to 3,720.77, 5,577.27 and 1,254.74 is: 1,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.77 : 5,577.27 = 1,254.74 : x
  2. Step 2: Convert to fraction form
    3,720.77/5,577.27 = 1,254.74/x
  3. Step 3: Cross multiply
    3,720.77x = 5,577.27 × 1,254.74
  4. Step 4: Simplify right side
    3,720.77x = 6,998,014.44
  5. Step 5: Solve for x
    x = 6,998,014.44/3,720.77
  6. Step 6: Final answer
    x = 1,880.80

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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.