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Finding the Fourth Proportional to 3,185.49, 4,776.38 and 1,235.42

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Solution

The fourth proportional to 3,185.49, 4,776.38 and 1,235.42 is: 1,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.49 : 4,776.38 = 1,235.42 : x
  2. Step 2: Convert to fraction form
    3,185.49/4,776.38 = 1,235.42/x
  3. Step 3: Cross multiply
    3,185.49x = 4,776.38 × 1,235.42
  4. Step 4: Simplify right side
    3,185.49x = 5,900,805.32
  5. Step 5: Solve for x
    x = 5,900,805.32/3,185.49
  6. Step 6: Final answer
    x = 1,852.40

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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.