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Finding the Fourth Proportional to 6,182.91, 8,534.70 and 4,189.50

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Solution

The fourth proportional to 6,182.91, 8,534.70 and 4,189.50 is: 5,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.91 : 8,534.70 = 4,189.50 : x
  2. Step 2: Convert to fraction form
    6,182.91/8,534.70 = 4,189.50/x
  3. Step 3: Cross multiply
    6,182.91x = 8,534.70 × 4,189.50
  4. Step 4: Simplify right side
    6,182.91x = 35,756,125.65
  5. Step 5: Solve for x
    x = 35,756,125.65/6,182.91
  6. Step 6: Final answer
    x = 5,783.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.