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Finding the Fourth Proportional to 5,506.56, 8,259.84 and 1,610.96

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Solution

The fourth proportional to 5,506.56, 8,259.84 and 1,610.96 is: 2,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.56 : 8,259.84 = 1,610.96 : x
  2. Step 2: Convert to fraction form
    5,506.56/8,259.84 = 1,610.96/x
  3. Step 3: Cross multiply
    5,506.56x = 8,259.84 × 1,610.96
  4. Step 4: Simplify right side
    5,506.56x = 13,306,271.85
  5. Step 5: Solve for x
    x = 13,306,271.85/5,506.56
  6. Step 6: Final answer
    x = 2,416.44

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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.