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Finding the Fourth Proportional to 4,485.64, 6,729.54 and 1,564.24

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Solution

The fourth proportional to 4,485.64, 6,729.54 and 1,564.24 is: 2,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485.64 : 6,729.54 = 1,564.24 : x
  2. Step 2: Convert to fraction form
    4,485.64/6,729.54 = 1,564.24/x
  3. Step 3: Cross multiply
    4,485.64x = 6,729.54 × 1,564.24
  4. Step 4: Simplify right side
    4,485.64x = 10,526,615.65
  5. Step 5: Solve for x
    x = 10,526,615.65/4,485.64
  6. Step 6: Final answer
    x = 2,346.74

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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.