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Finding the Fourth Proportional to 3,547.49, 5,310.30 and 3,245.09

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Solution

The fourth proportional to 3,547.49, 5,310.30 and 3,245.09 is: 4,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.49 : 5,310.30 = 3,245.09 : x
  2. Step 2: Convert to fraction form
    3,547.49/5,310.30 = 3,245.09/x
  3. Step 3: Cross multiply
    3,547.49x = 5,310.30 × 3,245.09
  4. Step 4: Simplify right side
    3,547.49x = 17,232,401.43
  5. Step 5: Solve for x
    x = 17,232,401.43/3,547.49
  6. Step 6: Final answer
    x = 4,857.63

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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.