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Finding the Fourth Proportional to 5,147.81, 7,720.53 and 3,068.40

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Solution

The fourth proportional to 5,147.81, 7,720.53 and 3,068.40 is: 4,601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.81 : 7,720.53 = 3,068.40 : x
  2. Step 2: Convert to fraction form
    5,147.81/7,720.53 = 3,068.40/x
  3. Step 3: Cross multiply
    5,147.81x = 7,720.53 × 3,068.40
  4. Step 4: Simplify right side
    5,147.81x = 23,689,674.25
  5. Step 5: Solve for x
    x = 23,689,674.25/5,147.81
  6. Step 6: Final answer
    x = 4,601.89

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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.