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Finding the Fourth Proportional to 5,776.30, 7,969.08 and 3,537.28

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Solution

The fourth proportional to 5,776.30, 7,969.08 and 3,537.28 is: 4,880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.30 : 7,969.08 = 3,537.28 : x
  2. Step 2: Convert to fraction form
    5,776.30/7,969.08 = 3,537.28/x
  3. Step 3: Cross multiply
    5,776.30x = 7,969.08 × 3,537.28
  4. Step 4: Simplify right side
    5,776.30x = 28,188,867.30
  5. Step 5: Solve for x
    x = 28,188,867.30/5,776.30
  6. Step 6: Final answer
    x = 4,880.09

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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.