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Finding the Fourth Proportional to 6,464.26, 8,920.70 and 3,669.76

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Solution

The fourth proportional to 6,464.26, 8,920.70 and 3,669.76 is: 5,064.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.26 : 8,920.70 = 3,669.76 : x
  2. Step 2: Convert to fraction form
    6,464.26/8,920.70 = 3,669.76/x
  3. Step 3: Cross multiply
    6,464.26x = 8,920.70 × 3,669.76
  4. Step 4: Simplify right side
    6,464.26x = 32,736,828.03
  5. Step 5: Solve for x
    x = 32,736,828.03/6,464.26
  6. Step 6: Final answer
    x = 5,064.28

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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.