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Finding the Fourth Proportional to 5,441.06, 7,509.29 and 3,083.63

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Solution

The fourth proportional to 5,441.06, 7,509.29 and 3,083.63 is: 4,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.06 : 7,509.29 = 3,083.63 : x
  2. Step 2: Convert to fraction form
    5,441.06/7,509.29 = 3,083.63/x
  3. Step 3: Cross multiply
    5,441.06x = 7,509.29 × 3,083.63
  4. Step 4: Simplify right side
    5,441.06x = 23,155,818.96
  5. Step 5: Solve for x
    x = 23,155,818.96/5,441.06
  6. Step 6: Final answer
    x = 4,255.76

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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.