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Finding the Fourth Proportional to 2,783.57, 3,845.27 and 2,435.02

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Solution

The fourth proportional to 2,783.57, 3,845.27 and 2,435.02 is: 3,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.57 : 3,845.27 = 2,435.02 : x
  2. Step 2: Convert to fraction form
    2,783.57/3,845.27 = 2,435.02/x
  3. Step 3: Cross multiply
    2,783.57x = 3,845.27 × 2,435.02
  4. Step 4: Simplify right side
    2,783.57x = 9,363,305.83
  5. Step 5: Solve for x
    x = 9,363,305.83/2,783.57
  6. Step 6: Final answer
    x = 3,363.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.