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Finding the Fourth Proportional to 2,573.28, 3,828.96 and 2,564.64

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Solution

The fourth proportional to 2,573.28, 3,828.96 and 2,564.64 is: 3,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.28 : 3,828.96 = 2,564.64 : x
  2. Step 2: Convert to fraction form
    2,573.28/3,828.96 = 2,564.64/x
  3. Step 3: Cross multiply
    2,573.28x = 3,828.96 × 2,564.64
  4. Step 4: Simplify right side
    2,573.28x = 9,819,903.97
  5. Step 5: Solve for x
    x = 9,819,903.97/2,573.28
  6. Step 6: Final answer
    x = 3,816.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.