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Finding the Fourth Proportional to 3,051.36, 4,573.44 and 1,406.40

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Solution

The fourth proportional to 3,051.36, 4,573.44 and 1,406.40 is: 2,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.36 : 4,573.44 = 1,406.40 : x
  2. Step 2: Convert to fraction form
    3,051.36/4,573.44 = 1,406.40/x
  3. Step 3: Cross multiply
    3,051.36x = 4,573.44 × 1,406.40
  4. Step 4: Simplify right side
    3,051.36x = 6,432,086.02
  5. Step 5: Solve for x
    x = 6,432,086.02/3,051.36
  6. Step 6: Final answer
    x = 2,107.94

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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.