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Finding the Fourth Proportional to 5,899.28, 8,140.32 and 3,509.36

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Solution

The fourth proportional to 5,899.28, 8,140.32 and 3,509.36 is: 4,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.28 : 8,140.32 = 3,509.36 : x
  2. Step 2: Convert to fraction form
    5,899.28/8,140.32 = 3,509.36/x
  3. Step 3: Cross multiply
    5,899.28x = 8,140.32 × 3,509.36
  4. Step 4: Simplify right side
    5,899.28x = 28,567,313.40
  5. Step 5: Solve for x
    x = 28,567,313.40/5,899.28
  6. Step 6: Final answer
    x = 4,842.51

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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.