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Finding the Fourth Proportional to 4,618.46, 6,894.41 and 4,290.41

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Solution

The fourth proportional to 4,618.46, 6,894.41 and 4,290.41 is: 6,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.46 : 6,894.41 = 4,290.41 : x
  2. Step 2: Convert to fraction form
    4,618.46/6,894.41 = 4,290.41/x
  3. Step 3: Cross multiply
    4,618.46x = 6,894.41 × 4,290.41
  4. Step 4: Simplify right side
    4,618.46x = 29,579,789.68
  5. Step 5: Solve for x
    x = 29,579,789.68/4,618.46
  6. Step 6: Final answer
    x = 6,404.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.