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Finding the Fourth Proportional to 3,114.99, 4,289.51 and 2,783.30

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Solution

The fourth proportional to 3,114.99, 4,289.51 and 2,783.30 is: 3,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.99 : 4,289.51 = 2,783.30 : x
  2. Step 2: Convert to fraction form
    3,114.99/4,289.51 = 2,783.30/x
  3. Step 3: Cross multiply
    3,114.99x = 4,289.51 × 2,783.30
  4. Step 4: Simplify right side
    3,114.99x = 11,938,963.04
  5. Step 5: Solve for x
    x = 11,938,963.04/3,114.99
  6. Step 6: Final answer
    x = 3,832.75

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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.