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Finding the Fourth Proportional to 4,853.60, 6,704.16 and 4,071.68

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Solution

The fourth proportional to 4,853.60, 6,704.16 and 4,071.68 is: 5,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.60 : 6,704.16 = 4,071.68 : x
  2. Step 2: Convert to fraction form
    4,853.60/6,704.16 = 4,071.68/x
  3. Step 3: Cross multiply
    4,853.60x = 6,704.16 × 4,071.68
  4. Step 4: Simplify right side
    4,853.60x = 27,297,194.19
  5. Step 5: Solve for x
    x = 27,297,194.19/4,853.60
  6. Step 6: Final answer
    x = 5,624.11

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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.