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Finding the Fourth Proportional to 3,759.97, 5,636.91 and 1,570.34

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Solution

The fourth proportional to 3,759.97, 5,636.91 and 1,570.34 is: 2,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.97 : 5,636.91 = 1,570.34 : x
  2. Step 2: Convert to fraction form
    3,759.97/5,636.91 = 1,570.34/x
  3. Step 3: Cross multiply
    3,759.97x = 5,636.91 × 1,570.34
  4. Step 4: Simplify right side
    3,759.97x = 8,851,837.06
  5. Step 5: Solve for x
    x = 8,851,837.06/3,759.97
  6. Step 6: Final answer
    x = 2,354.23

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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.