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Finding the Fourth Proportional to 3,662.37, 5,490.94 and 1,713.51

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Solution

The fourth proportional to 3,662.37, 5,490.94 and 1,713.51 is: 2,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.37 : 5,490.94 = 1,713.51 : x
  2. Step 2: Convert to fraction form
    3,662.37/5,490.94 = 1,713.51/x
  3. Step 3: Cross multiply
    3,662.37x = 5,490.94 × 1,713.51
  4. Step 4: Simplify right side
    3,662.37x = 9,408,780.60
  5. Step 5: Solve for x
    x = 9,408,780.60/3,662.37
  6. Step 6: Final answer
    x = 2,569.04

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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.