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Finding the Fourth Proportional to 5,284.66, 7,289.73 and 3,268.86

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Solution

The fourth proportional to 5,284.66, 7,289.73 and 3,268.86 is: 4,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.66 : 7,289.73 = 3,268.86 : x
  2. Step 2: Convert to fraction form
    5,284.66/7,289.73 = 3,268.86/x
  3. Step 3: Cross multiply
    5,284.66x = 7,289.73 × 3,268.86
  4. Step 4: Simplify right side
    5,284.66x = 23,829,106.81
  5. Step 5: Solve for x
    x = 23,829,106.81/5,284.66
  6. Step 6: Final answer
    x = 4,509.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.