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Finding the Fourth Proportional to 4,133.25, 5,703.89 and 2,270.25

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Solution

The fourth proportional to 4,133.25, 5,703.89 and 2,270.25 is: 3,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.25 : 5,703.89 = 2,270.25 : x
  2. Step 2: Convert to fraction form
    4,133.25/5,703.89 = 2,270.25/x
  3. Step 3: Cross multiply
    4,133.25x = 5,703.89 × 2,270.25
  4. Step 4: Simplify right side
    4,133.25x = 12,949,244.92
  5. Step 5: Solve for x
    x = 12,949,244.92/4,133.25
  6. Step 6: Final answer
    x = 3,132.95

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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.