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Finding the Fourth Proportional to 5,605.26, 7,735.64 and 3,713.57

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Solution

The fourth proportional to 5,605.26, 7,735.64 and 3,713.57 is: 5,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.26 : 7,735.64 = 3,713.57 : x
  2. Step 2: Convert to fraction form
    5,605.26/7,735.64 = 3,713.57/x
  3. Step 3: Cross multiply
    5,605.26x = 7,735.64 × 3,713.57
  4. Step 4: Simplify right side
    5,605.26x = 28,726,840.63
  5. Step 5: Solve for x
    x = 28,726,840.63/5,605.26
  6. Step 6: Final answer
    x = 5,124.98

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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.