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Finding the Fourth Proportional to 5,736.26, 8,602.90 and 1,575.29

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Solution

The fourth proportional to 5,736.26, 8,602.90 and 1,575.29 is: 2,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.26 : 8,602.90 = 1,575.29 : x
  2. Step 2: Convert to fraction form
    5,736.26/8,602.90 = 1,575.29/x
  3. Step 3: Cross multiply
    5,736.26x = 8,602.90 × 1,575.29
  4. Step 4: Simplify right side
    5,736.26x = 13,552,062.34
  5. Step 5: Solve for x
    x = 13,552,062.34/5,736.26
  6. Step 6: Final answer
    x = 2,362.53

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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.