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Finding the Fourth Proportional to 3,784.37, 5,672.88 and 1,835.51

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Solution

The fourth proportional to 3,784.37, 5,672.88 and 1,835.51 is: 2,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.37 : 5,672.88 = 1,835.51 : x
  2. Step 2: Convert to fraction form
    3,784.37/5,672.88 = 1,835.51/x
  3. Step 3: Cross multiply
    3,784.37x = 5,672.88 × 1,835.51
  4. Step 4: Simplify right side
    3,784.37x = 10,412,599.60
  5. Step 5: Solve for x
    x = 10,412,599.60/3,784.37
  6. Step 6: Final answer
    x = 2,751.48

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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.