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Finding the Fourth Proportional to 5,490.54, 7,575.03 and 3,811.50

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Solution

The fourth proportional to 5,490.54, 7,575.03 and 3,811.50 is: 5,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.54 : 7,575.03 = 3,811.50 : x
  2. Step 2: Convert to fraction form
    5,490.54/7,575.03 = 3,811.50/x
  3. Step 3: Cross multiply
    5,490.54x = 7,575.03 × 3,811.50
  4. Step 4: Simplify right side
    5,490.54x = 28,872,226.85
  5. Step 5: Solve for x
    x = 28,872,226.85/5,490.54
  6. Step 6: Final answer
    x = 5,258.54

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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.