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Finding the Fourth Proportional to 3,615.94, 5,423.91 and 1,424.89

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Solution

The fourth proportional to 3,615.94, 5,423.91 and 1,424.89 is: 2,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.94 : 5,423.91 = 1,424.89 : x
  2. Step 2: Convert to fraction form
    3,615.94/5,423.91 = 1,424.89/x
  3. Step 3: Cross multiply
    3,615.94x = 5,423.91 × 1,424.89
  4. Step 4: Simplify right side
    3,615.94x = 7,728,475.12
  5. Step 5: Solve for x
    x = 7,728,475.12/3,615.94
  6. Step 6: Final answer
    x = 2,137.34

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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.