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Finding the Fourth Proportional to 4,640.40, 6,404.94 and 2,651.58

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Solution

The fourth proportional to 4,640.40, 6,404.94 and 2,651.58 is: 3,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.40 : 6,404.94 = 2,651.58 : x
  2. Step 2: Convert to fraction form
    4,640.40/6,404.94 = 2,651.58/x
  3. Step 3: Cross multiply
    4,640.40x = 6,404.94 × 2,651.58
  4. Step 4: Simplify right side
    4,640.40x = 16,983,210.81
  5. Step 5: Solve for x
    x = 16,983,210.81/4,640.40
  6. Step 6: Final answer
    x = 3,659.86

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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.