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Finding the Fourth Proportional to 5,401.14, 8,101.80 and 1,505.48

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Solution

The fourth proportional to 5,401.14, 8,101.80 and 1,505.48 is: 2,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.14 : 8,101.80 = 1,505.48 : x
  2. Step 2: Convert to fraction form
    5,401.14/8,101.80 = 1,505.48/x
  3. Step 3: Cross multiply
    5,401.14x = 8,101.80 × 1,505.48
  4. Step 4: Simplify right side
    5,401.14x = 12,197,097.86
  5. Step 5: Solve for x
    x = 12,197,097.86/5,401.14
  6. Step 6: Final answer
    x = 2,258.25

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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.