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Finding the Fourth Proportional to 4,626.81, 6,938.64 and 1,339.02

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Solution

The fourth proportional to 4,626.81, 6,938.64 and 1,339.02 is: 2,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.81 : 6,938.64 = 1,339.02 : x
  2. Step 2: Convert to fraction form
    4,626.81/6,938.64 = 1,339.02/x
  3. Step 3: Cross multiply
    4,626.81x = 6,938.64 × 1,339.02
  4. Step 4: Simplify right side
    4,626.81x = 9,290,977.73
  5. Step 5: Solve for x
    x = 9,290,977.73/4,626.81
  6. Step 6: Final answer
    x = 2,008.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.