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Finding the Fourth Proportional to 4,684.26, 6,464.03 and 2,588.25

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Solution

The fourth proportional to 4,684.26, 6,464.03 and 2,588.25 is: 3,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.26 : 6,464.03 = 2,588.25 : x
  2. Step 2: Convert to fraction form
    4,684.26/6,464.03 = 2,588.25/x
  3. Step 3: Cross multiply
    4,684.26x = 6,464.03 × 2,588.25
  4. Step 4: Simplify right side
    4,684.26x = 16,730,512.71
  5. Step 5: Solve for x
    x = 16,730,512.71/4,684.26
  6. Step 6: Final answer
    x = 3,571.64

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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.