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Finding the Fourth Proportional to 5,400.80, 8,101.20 and 1,505.84

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Solution

The fourth proportional to 5,400.80, 8,101.20 and 1,505.84 is: 2,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.80 : 8,101.20 = 1,505.84 : x
  2. Step 2: Convert to fraction form
    5,400.80/8,101.20 = 1,505.84/x
  3. Step 3: Cross multiply
    5,400.80x = 8,101.20 × 1,505.84
  4. Step 4: Simplify right side
    5,400.80x = 12,199,111.01
  5. Step 5: Solve for x
    x = 12,199,111.01/5,400.80
  6. Step 6: Final answer
    x = 2,258.76

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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.