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Finding the Fourth Proportional to 4,485.64, 6,729.34 and 1,564.04

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Solution

The fourth proportional to 4,485.64, 6,729.34 and 1,564.04 is: 2,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485.64 : 6,729.34 = 1,564.04 : x
  2. Step 2: Convert to fraction form
    4,485.64/6,729.34 = 1,564.04/x
  3. Step 3: Cross multiply
    4,485.64x = 6,729.34 × 1,564.04
  4. Step 4: Simplify right side
    4,485.64x = 10,524,956.93
  5. Step 5: Solve for x
    x = 10,524,956.93/4,485.64
  6. Step 6: Final answer
    x = 2,346.37

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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.