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Finding the Fourth Proportional to 4,456.32, 6,152.04 and 4,161.84

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Solution

The fourth proportional to 4,456.32, 6,152.04 and 4,161.84 is: 5,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.32 : 6,152.04 = 4,161.84 : x
  2. Step 2: Convert to fraction form
    4,456.32/6,152.04 = 4,161.84/x
  3. Step 3: Cross multiply
    4,456.32x = 6,152.04 × 4,161.84
  4. Step 4: Simplify right side
    4,456.32x = 25,603,806.15
  5. Step 5: Solve for x
    x = 25,603,806.15/4,456.32
  6. Step 6: Final answer
    x = 5,745.50

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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.