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Finding the Fourth Proportional to 4,182.63, 6,275.76 and 1,991.37

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Solution

The fourth proportional to 4,182.63, 6,275.76 and 1,991.37 is: 2,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.63 : 6,275.76 = 1,991.37 : x
  2. Step 2: Convert to fraction form
    4,182.63/6,275.76 = 1,991.37/x
  3. Step 3: Cross multiply
    4,182.63x = 6,275.76 × 1,991.37
  4. Step 4: Simplify right side
    4,182.63x = 12,497,360.19
  5. Step 5: Solve for x
    x = 12,497,360.19/4,182.63
  6. Step 6: Final answer
    x = 2,987.92

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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.