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Finding the Fourth Proportional to 3,946.95, 5,918.00 and 1,350.09

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Solution

The fourth proportional to 3,946.95, 5,918.00 and 1,350.09 is: 2,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.95 : 5,918.00 = 1,350.09 : x
  2. Step 2: Convert to fraction form
    3,946.95/5,918.00 = 1,350.09/x
  3. Step 3: Cross multiply
    3,946.95x = 5,918.00 × 1,350.09
  4. Step 4: Simplify right side
    3,946.95x = 7,989,825.87
  5. Step 5: Solve for x
    x = 7,989,825.87/3,946.95
  6. Step 6: Final answer
    x = 2,024.30

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Why These Related Problems?

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