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Finding the Fourth Proportional to 5,153.89, 7,727.58 and 1,866.37

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Solution

The fourth proportional to 5,153.89, 7,727.58 and 1,866.37 is: 2,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.89 : 7,727.58 = 1,866.37 : x
  2. Step 2: Convert to fraction form
    5,153.89/7,727.58 = 1,866.37/x
  3. Step 3: Cross multiply
    5,153.89x = 7,727.58 × 1,866.37
  4. Step 4: Simplify right side
    5,153.89x = 14,422,523.48
  5. Step 5: Solve for x
    x = 14,422,523.48/5,153.89
  6. Step 6: Final answer
    x = 2,798.38

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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.