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Finding the Fourth Proportional to 3,382.08, 4,638 and 3,330.24

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Solution

The fourth proportional to 3,382.08, 4,638 and 3,330.24 is: 4,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.08 : 4,638 = 3,330.24 : x
  2. Step 2: Convert to fraction form
    3,382.08/4,638 = 3,330.24/x
  3. Step 3: Cross multiply
    3,382.08x = 4,638 × 3,330.24
  4. Step 4: Simplify right side
    3,382.08x = 15,445,653.12
  5. Step 5: Solve for x
    x = 15,445,653.12/3,382.08
  6. Step 6: Final answer
    x = 4,566.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.