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Finding the Fourth Proportional to 3,943.15, 5,914.95 and 1,021.38

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Solution

The fourth proportional to 3,943.15, 5,914.95 and 1,021.38 is: 1,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.15 : 5,914.95 = 1,021.38 : x
  2. Step 2: Convert to fraction form
    3,943.15/5,914.95 = 1,021.38/x
  3. Step 3: Cross multiply
    3,943.15x = 5,914.95 × 1,021.38
  4. Step 4: Simplify right side
    3,943.15x = 6,041,411.63
  5. Step 5: Solve for x
    x = 6,041,411.63/3,943.15
  6. Step 6: Final answer
    x = 1,532.13

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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.