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Finding the Fourth Proportional to 4,509.36, 6,754.32 and 2,196

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Solution

The fourth proportional to 4,509.36, 6,754.32 and 2,196 is: 3,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.36 : 6,754.32 = 2,196 : x
  2. Step 2: Convert to fraction form
    4,509.36/6,754.32 = 2,196/x
  3. Step 3: Cross multiply
    4,509.36x = 6,754.32 × 2,196
  4. Step 4: Simplify right side
    4,509.36x = 14,832,486.72
  5. Step 5: Solve for x
    x = 14,832,486.72/4,509.36
  6. Step 6: Final answer
    x = 3,289.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.