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Finding the Fourth Proportional to 4,817.68, 6,646.24 and 4,226.40

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Solution

The fourth proportional to 4,817.68, 6,646.24 and 4,226.40 is: 5,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.68 : 6,646.24 = 4,226.40 : x
  2. Step 2: Convert to fraction form
    4,817.68/6,646.24 = 4,226.40/x
  3. Step 3: Cross multiply
    4,817.68x = 6,646.24 × 4,226.40
  4. Step 4: Simplify right side
    4,817.68x = 28,089,668.74
  5. Step 5: Solve for x
    x = 28,089,668.74/4,817.68
  6. Step 6: Final answer
    x = 5,830.54

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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.