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Finding the Fourth Proportional to 5,401.41, 8,101.99 and 1,505.71

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Solution

The fourth proportional to 5,401.41, 8,101.99 and 1,505.71 is: 2,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.41 : 8,101.99 = 1,505.71 : x
  2. Step 2: Convert to fraction form
    5,401.41/8,101.99 = 1,505.71/x
  3. Step 3: Cross multiply
    5,401.41x = 8,101.99 × 1,505.71
  4. Step 4: Simplify right side
    5,401.41x = 12,199,247.36
  5. Step 5: Solve for x
    x = 12,199,247.36/5,401.41
  6. Step 6: Final answer
    x = 2,258.53

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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.