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Finding the Fourth Proportional to 4,258.64, 6,380.28 and 3,564.56

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Solution

The fourth proportional to 4,258.64, 6,380.28 and 3,564.56 is: 5,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.64 : 6,380.28 = 3,564.56 : x
  2. Step 2: Convert to fraction form
    4,258.64/6,380.28 = 3,564.56/x
  3. Step 3: Cross multiply
    4,258.64x = 6,380.28 × 3,564.56
  4. Step 4: Simplify right side
    4,258.64x = 22,742,890.88
  5. Step 5: Solve for x
    x = 22,742,890.88/4,258.64
  6. Step 6: Final answer
    x = 5,340.41

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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.