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Finding the Fourth Proportional to 3,943.68, 5,914.96 and 2,301

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Solution

The fourth proportional to 3,943.68, 5,914.96 and 2,301 is: 3,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.68 : 5,914.96 = 2,301 : x
  2. Step 2: Convert to fraction form
    3,943.68/5,914.96 = 2,301/x
  3. Step 3: Cross multiply
    3,943.68x = 5,914.96 × 2,301
  4. Step 4: Simplify right side
    3,943.68x = 13,610,322.96
  5. Step 5: Solve for x
    x = 13,610,322.96/3,943.68
  6. Step 6: Final answer
    x = 3,451.17

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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.