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Finding the Fourth Proportional to 3,135.74, 4,700.82 and 1,189.31

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Solution

The fourth proportional to 3,135.74, 4,700.82 and 1,189.31 is: 1,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.74 : 4,700.82 = 1,189.31 : x
  2. Step 2: Convert to fraction form
    3,135.74/4,700.82 = 1,189.31/x
  3. Step 3: Cross multiply
    3,135.74x = 4,700.82 × 1,189.31
  4. Step 4: Simplify right side
    3,135.74x = 5,590,732.23
  5. Step 5: Solve for x
    x = 5,590,732.23/3,135.74
  6. Step 6: Final answer
    x = 1,782.91

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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.