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Finding the Fourth Proportional to 5,509.44, 7,602.84 and 3,151.40

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Solution

The fourth proportional to 5,509.44, 7,602.84 and 3,151.40 is: 4,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.44 : 7,602.84 = 3,151.40 : x
  2. Step 2: Convert to fraction form
    5,509.44/7,602.84 = 3,151.40/x
  3. Step 3: Cross multiply
    5,509.44x = 7,602.84 × 3,151.40
  4. Step 4: Simplify right side
    5,509.44x = 23,959,551.96
  5. Step 5: Solve for x
    x = 23,959,551.96/5,509.44
  6. Step 6: Final answer
    x = 4,348.82

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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.