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Finding the Fourth Proportional to 4,546.14, 6,317.21 and 4,498.62

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Solution

The fourth proportional to 4,546.14, 6,317.21 and 4,498.62 is: 6,251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.14 : 6,317.21 = 4,498.62 : x
  2. Step 2: Convert to fraction form
    4,546.14/6,317.21 = 4,498.62/x
  3. Step 3: Cross multiply
    4,546.14x = 6,317.21 × 4,498.62
  4. Step 4: Simplify right side
    4,546.14x = 28,418,704.76
  5. Step 5: Solve for x
    x = 28,418,704.76/4,546.14
  6. Step 6: Final answer
    x = 6,251.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.