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Finding the Fourth Proportional to 3,658, 5,481.84 and 2,966.32

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Solution

The fourth proportional to 3,658, 5,481.84 and 2,966.32 is: 4,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658 : 5,481.84 = 2,966.32 : x
  2. Step 2: Convert to fraction form
    3,658/5,481.84 = 2,966.32/x
  3. Step 3: Cross multiply
    3,658x = 5,481.84 × 2,966.32
  4. Step 4: Simplify right side
    3,658x = 16,260,891.63
  5. Step 5: Solve for x
    x = 16,260,891.63/3,658
  6. Step 6: Final answer
    x = 4,445.30

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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.