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Finding the Fourth Proportional to 3,419.63, 5,128.03 and 1,837.47

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Solution

The fourth proportional to 3,419.63, 5,128.03 and 1,837.47 is: 2,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.63 : 5,128.03 = 1,837.47 : x
  2. Step 2: Convert to fraction form
    3,419.63/5,128.03 = 1,837.47/x
  3. Step 3: Cross multiply
    3,419.63x = 5,128.03 × 1,837.47
  4. Step 4: Simplify right side
    3,419.63x = 9,422,622.81
  5. Step 5: Solve for x
    x = 9,422,622.81/3,419.63
  6. Step 6: Final answer
    x = 2,755.45

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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.