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Finding the Fourth Proportional to 3,750.44, 5,619.47 and 1,283.90

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Solution

The fourth proportional to 3,750.44, 5,619.47 and 1,283.90 is: 1,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.44 : 5,619.47 = 1,283.90 : x
  2. Step 2: Convert to fraction form
    3,750.44/5,619.47 = 1,283.90/x
  3. Step 3: Cross multiply
    3,750.44x = 5,619.47 × 1,283.90
  4. Step 4: Simplify right side
    3,750.44x = 7,214,803.02
  5. Step 5: Solve for x
    x = 7,214,803.02/3,750.44
  6. Step 6: Final answer
    x = 1,923.72

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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.