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Finding the Fourth Proportional to 3,154.25, 4,727.46 and 2,765.00

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Solution

The fourth proportional to 3,154.25, 4,727.46 and 2,765.00 is: 4,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.25 : 4,727.46 = 2,765.00 : x
  2. Step 2: Convert to fraction form
    3,154.25/4,727.46 = 2,765.00/x
  3. Step 3: Cross multiply
    3,154.25x = 4,727.46 × 2,765.00
  4. Step 4: Simplify right side
    3,154.25x = 13,071,403.26
  5. Step 5: Solve for x
    x = 13,071,403.26/3,154.25
  6. Step 6: Final answer
    x = 4,144.07

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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.