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Finding the Fourth Proportional to 5,496.64, 8,245.53 and 1,601.06

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Solution

The fourth proportional to 5,496.64, 8,245.53 and 1,601.06 is: 2,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.64 : 8,245.53 = 1,601.06 : x
  2. Step 2: Convert to fraction form
    5,496.64/8,245.53 = 1,601.06/x
  3. Step 3: Cross multiply
    5,496.64x = 8,245.53 × 1,601.06
  4. Step 4: Simplify right side
    5,496.64x = 13,201,547.03
  5. Step 5: Solve for x
    x = 13,201,547.03/5,496.64
  6. Step 6: Final answer
    x = 2,401.75

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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.