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Finding the Fourth Proportional to 4,008.90, 6,014 and 1,235.57

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Solution

The fourth proportional to 4,008.90, 6,014 and 1,235.57 is: 1,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,008.90 : 6,014 = 1,235.57 : x
  2. Step 2: Convert to fraction form
    4,008.90/6,014 = 1,235.57/x
  3. Step 3: Cross multiply
    4,008.90x = 6,014 × 1,235.57
  4. Step 4: Simplify right side
    4,008.90x = 7,430,717.98
  5. Step 5: Solve for x
    x = 7,430,717.98/4,008.90
  6. Step 6: Final answer
    x = 1,853.56

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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.