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Finding the Fourth Proportional to 3,783.79, 5,671.09 and 2,024.47

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Solution

The fourth proportional to 3,783.79, 5,671.09 and 2,024.47 is: 3,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.79 : 5,671.09 = 2,024.47 : x
  2. Step 2: Convert to fraction form
    3,783.79/5,671.09 = 2,024.47/x
  3. Step 3: Cross multiply
    3,783.79x = 5,671.09 × 2,024.47
  4. Step 4: Simplify right side
    3,783.79x = 11,480,951.57
  5. Step 5: Solve for x
    x = 11,480,951.57/3,783.79
  6. Step 6: Final answer
    x = 3,034.25

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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.