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Finding the Fourth Proportional to 3,382.66, 4,634.16 and 3,256.32

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Solution

The fourth proportional to 3,382.66, 4,634.16 and 3,256.32 is: 4,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.66 : 4,634.16 = 3,256.32 : x
  2. Step 2: Convert to fraction form
    3,382.66/4,634.16 = 3,256.32/x
  3. Step 3: Cross multiply
    3,382.66x = 4,634.16 × 3,256.32
  4. Step 4: Simplify right side
    3,382.66x = 15,090,307.89
  5. Step 5: Solve for x
    x = 15,090,307.89/3,382.66
  6. Step 6: Final answer
    x = 4,461.08

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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.