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Finding the Fourth Proportional to 3,783.45, 5,671.94 and 1,317.95

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Solution

The fourth proportional to 3,783.45, 5,671.94 and 1,317.95 is: 1,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.45 : 5,671.94 = 1,317.95 : x
  2. Step 2: Convert to fraction form
    3,783.45/5,671.94 = 1,317.95/x
  3. Step 3: Cross multiply
    3,783.45x = 5,671.94 × 1,317.95
  4. Step 4: Simplify right side
    3,783.45x = 7,475,298.37
  5. Step 5: Solve for x
    x = 7,475,298.37/3,783.45
  6. Step 6: Final answer
    x = 1,975.79

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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.