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Finding the Fourth Proportional to 4,409.32, 6,616.14 and 1,813

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Solution

The fourth proportional to 4,409.32, 6,616.14 and 1,813 is: 2,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.32 : 6,616.14 = 1,813 : x
  2. Step 2: Convert to fraction form
    4,409.32/6,616.14 = 1,813/x
  3. Step 3: Cross multiply
    4,409.32x = 6,616.14 × 1,813
  4. Step 4: Simplify right side
    4,409.32x = 11,995,061.82
  5. Step 5: Solve for x
    x = 11,995,061.82/4,409.32
  6. Step 6: Final answer
    x = 2,720.39

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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.