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Finding the Fourth Proportional to 3,137.01, 4,707.54 and 1,189.19

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Solution

The fourth proportional to 3,137.01, 4,707.54 and 1,189.19 is: 1,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.01 : 4,707.54 = 1,189.19 : x
  2. Step 2: Convert to fraction form
    3,137.01/4,707.54 = 1,189.19/x
  3. Step 3: Cross multiply
    3,137.01x = 4,707.54 × 1,189.19
  4. Step 4: Simplify right side
    3,137.01x = 5,598,135.95
  5. Step 5: Solve for x
    x = 5,598,135.95/3,137.01
  6. Step 6: Final answer
    x = 1,784.55

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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.