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Finding the Fourth Proportional to 5,505.62, 8,258.52 and 1,610

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Solution

The fourth proportional to 5,505.62, 8,258.52 and 1,610 is: 2,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.62 : 8,258.52 = 1,610 : x
  2. Step 2: Convert to fraction form
    5,505.62/8,258.52 = 1,610/x
  3. Step 3: Cross multiply
    5,505.62x = 8,258.52 × 1,610
  4. Step 4: Simplify right side
    5,505.62x = 13,296,217.20
  5. Step 5: Solve for x
    x = 13,296,217.20/5,505.62
  6. Step 6: Final answer
    x = 2,415.03

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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.