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Finding the Fourth Proportional to 5,243.35, 7,865.07 and 1,913.99

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Solution

The fourth proportional to 5,243.35, 7,865.07 and 1,913.99 is: 2,870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.35 : 7,865.07 = 1,913.99 : x
  2. Step 2: Convert to fraction form
    5,243.35/7,865.07 = 1,913.99/x
  3. Step 3: Cross multiply
    5,243.35x = 7,865.07 × 1,913.99
  4. Step 4: Simplify right side
    5,243.35x = 15,053,616.43
  5. Step 5: Solve for x
    x = 15,053,616.43/5,243.35
  6. Step 6: Final answer
    x = 2,870.99

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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.