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Finding the Fourth Proportional to 3,604.84, 5,408.16 and 1,007.75

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Solution

The fourth proportional to 3,604.84, 5,408.16 and 1,007.75 is: 1,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.84 : 5,408.16 = 1,007.75 : x
  2. Step 2: Convert to fraction form
    3,604.84/5,408.16 = 1,007.75/x
  3. Step 3: Cross multiply
    3,604.84x = 5,408.16 × 1,007.75
  4. Step 4: Simplify right side
    3,604.84x = 5,450,068.20
  5. Step 5: Solve for x
    x = 5,450,068.20/3,604.84
  6. Step 6: Final answer
    x = 1,511.88

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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.