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Finding the Fourth Proportional to 3,429.44, 5,141 and 1,237.64

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Solution

The fourth proportional to 3,429.44, 5,141 and 1,237.64 is: 1,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.44 : 5,141 = 1,237.64 : x
  2. Step 2: Convert to fraction form
    3,429.44/5,141 = 1,237.64/x
  3. Step 3: Cross multiply
    3,429.44x = 5,141 × 1,237.64
  4. Step 4: Simplify right side
    3,429.44x = 6,362,707.24
  5. Step 5: Solve for x
    x = 6,362,707.24/3,429.44
  6. Step 6: Final answer
    x = 1,855.32

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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.