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Finding the Fourth Proportional to 5,142.69, 7,701.73 and 4,884.35

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Solution

The fourth proportional to 5,142.69, 7,701.73 and 4,884.35 is: 7,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.69 : 7,701.73 = 4,884.35 : x
  2. Step 2: Convert to fraction form
    5,142.69/7,701.73 = 4,884.35/x
  3. Step 3: Cross multiply
    5,142.69x = 7,701.73 × 4,884.35
  4. Step 4: Simplify right side
    5,142.69x = 37,617,882.00
  5. Step 5: Solve for x
    x = 37,617,882.00/5,142.69
  6. Step 6: Final answer
    x = 7,314.83

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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.