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Finding the Fourth Proportional to 3,785.51, 5,675.43 and 2,549.45

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Solution

The fourth proportional to 3,785.51, 5,675.43 and 2,549.45 is: 3,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.51 : 5,675.43 = 2,549.45 : x
  2. Step 2: Convert to fraction form
    3,785.51/5,675.43 = 2,549.45/x
  3. Step 3: Cross multiply
    3,785.51x = 5,675.43 × 2,549.45
  4. Step 4: Simplify right side
    3,785.51x = 14,469,225.01
  5. Step 5: Solve for x
    x = 14,469,225.01/3,785.51
  6. Step 6: Final answer
    x = 3,822.27

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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.