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Finding the Fourth Proportional to 4,289.72, 5,919.72 and 2,401.40

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Solution

The fourth proportional to 4,289.72, 5,919.72 and 2,401.40 is: 3,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.72 : 5,919.72 = 2,401.40 : x
  2. Step 2: Convert to fraction form
    4,289.72/5,919.72 = 2,401.40/x
  3. Step 3: Cross multiply
    4,289.72x = 5,919.72 × 2,401.40
  4. Step 4: Simplify right side
    4,289.72x = 14,215,615.61
  5. Step 5: Solve for x
    x = 14,215,615.61/4,289.72
  6. Step 6: Final answer
    x = 3,313.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.