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Finding the Fourth Proportional to 5,756.90, 7,945.93 and 3,772.26

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Solution

The fourth proportional to 5,756.90, 7,945.93 and 3,772.26 is: 5,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.90 : 7,945.93 = 3,772.26 : x
  2. Step 2: Convert to fraction form
    5,756.90/7,945.93 = 3,772.26/x
  3. Step 3: Cross multiply
    5,756.90x = 7,945.93 × 3,772.26
  4. Step 4: Simplify right side
    5,756.90x = 29,974,113.90
  5. Step 5: Solve for x
    x = 29,974,113.90/5,756.90
  6. Step 6: Final answer
    x = 5,206.64

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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.