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Finding the Fourth Proportional to 3,307.82, 4,962.42 and 1,115.96

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Solution

The fourth proportional to 3,307.82, 4,962.42 and 1,115.96 is: 1,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.82 : 4,962.42 = 1,115.96 : x
  2. Step 2: Convert to fraction form
    3,307.82/4,962.42 = 1,115.96/x
  3. Step 3: Cross multiply
    3,307.82x = 4,962.42 × 1,115.96
  4. Step 4: Simplify right side
    3,307.82x = 5,537,837.41
  5. Step 5: Solve for x
    x = 5,537,837.41/3,307.82
  6. Step 6: Final answer
    x = 1,674.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.