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Finding the Fourth Proportional to 3,419.93, 5,133.06 and 1,755.24

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Solution

The fourth proportional to 3,419.93, 5,133.06 and 1,755.24 is: 2,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.93 : 5,133.06 = 1,755.24 : x
  2. Step 2: Convert to fraction form
    3,419.93/5,133.06 = 1,755.24/x
  3. Step 3: Cross multiply
    3,419.93x = 5,133.06 × 1,755.24
  4. Step 4: Simplify right side
    3,419.93x = 9,009,752.23
  5. Step 5: Solve for x
    x = 9,009,752.23/3,419.93
  6. Step 6: Final answer
    x = 2,634.49

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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.