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Finding the Fourth Proportional to 3,742.44, 5,611.50 and 1,552.74

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Solution

The fourth proportional to 3,742.44, 5,611.50 and 1,552.74 is: 2,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.44 : 5,611.50 = 1,552.74 : x
  2. Step 2: Convert to fraction form
    3,742.44/5,611.50 = 1,552.74/x
  3. Step 3: Cross multiply
    3,742.44x = 5,611.50 × 1,552.74
  4. Step 4: Simplify right side
    3,742.44x = 8,713,200.51
  5. Step 5: Solve for x
    x = 8,713,200.51/3,742.44
  6. Step 6: Final answer
    x = 2,328.21

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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.