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Finding the Fourth Proportional to 3,664.56, 5,497.01 and 1,166.00

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Solution

The fourth proportional to 3,664.56, 5,497.01 and 1,166.00 is: 1,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.56 : 5,497.01 = 1,166.00 : x
  2. Step 2: Convert to fraction form
    3,664.56/5,497.01 = 1,166.00/x
  3. Step 3: Cross multiply
    3,664.56x = 5,497.01 × 1,166.00
  4. Step 4: Simplify right side
    3,664.56x = 6,409,486.36
  5. Step 5: Solve for x
    x = 6,409,486.36/3,664.56
  6. Step 6: Final answer
    x = 1,749.05

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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.