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Finding the Fourth Proportional to 5,505.75, 8,258.79 and 1,610.16

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Solution

The fourth proportional to 5,505.75, 8,258.79 and 1,610.16 is: 2,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.75 : 8,258.79 = 1,610.16 : x
  2. Step 2: Convert to fraction form
    5,505.75/8,258.79 = 1,610.16/x
  3. Step 3: Cross multiply
    5,505.75x = 8,258.79 × 1,610.16
  4. Step 4: Simplify right side
    5,505.75x = 13,297,973.31
  5. Step 5: Solve for x
    x = 13,297,973.31/5,505.75
  6. Step 6: Final answer
    x = 2,415.29

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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.