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Finding the Fourth Proportional to 3,740.88, 5,611.34 and 1,548.42

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Solution

The fourth proportional to 3,740.88, 5,611.34 and 1,548.42 is: 2,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.88 : 5,611.34 = 1,548.42 : x
  2. Step 2: Convert to fraction form
    3,740.88/5,611.34 = 1,548.42/x
  3. Step 3: Cross multiply
    3,740.88x = 5,611.34 × 1,548.42
  4. Step 4: Simplify right side
    3,740.88x = 8,688,711.08
  5. Step 5: Solve for x
    x = 8,688,711.08/3,740.88
  6. Step 6: Final answer
    x = 2,322.64

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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.