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Finding the Fourth Proportional to 5,509.74, 7,603.89 and 3,152.33

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Solution

The fourth proportional to 5,509.74, 7,603.89 and 3,152.33 is: 4,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.74 : 7,603.89 = 3,152.33 : x
  2. Step 2: Convert to fraction form
    5,509.74/7,603.89 = 3,152.33/x
  3. Step 3: Cross multiply
    5,509.74x = 7,603.89 × 3,152.33
  4. Step 4: Simplify right side
    5,509.74x = 23,969,932.54
  5. Step 5: Solve for x
    x = 23,969,932.54/5,509.74
  6. Step 6: Final answer
    x = 4,350.47

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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.