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Finding the Fourth Proportional to 3,185.88, 4,775.94 and 1,133.40

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Solution

The fourth proportional to 3,185.88, 4,775.94 and 1,133.40 is: 1,699.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.88 : 4,775.94 = 1,133.40 : x
  2. Step 2: Convert to fraction form
    3,185.88/4,775.94 = 1,133.40/x
  3. Step 3: Cross multiply
    3,185.88x = 4,775.94 × 1,133.40
  4. Step 4: Simplify right side
    3,185.88x = 5,413,044.73
  5. Step 5: Solve for x
    x = 5,413,044.73/3,185.88
  6. Step 6: Final answer
    x = 1,699.07

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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.