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Finding the Fourth Proportional to 5,788.26, 7,985.79 and 3,548.41

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Solution

The fourth proportional to 5,788.26, 7,985.79 and 3,548.41 is: 4,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.26 : 7,985.79 = 3,548.41 : x
  2. Step 2: Convert to fraction form
    5,788.26/7,985.79 = 3,548.41/x
  3. Step 3: Cross multiply
    5,788.26x = 7,985.79 × 3,548.41
  4. Step 4: Simplify right side
    5,788.26x = 28,336,837.13
  5. Step 5: Solve for x
    x = 28,336,837.13/5,788.26
  6. Step 6: Final answer
    x = 4,895.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.