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Finding the Fourth Proportional to 6,182.82, 8,530.50 and 3,663.84

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Solution

The fourth proportional to 6,182.82, 8,530.50 and 3,663.84 is: 5,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.82 : 8,530.50 = 3,663.84 : x
  2. Step 2: Convert to fraction form
    6,182.82/8,530.50 = 3,663.84/x
  3. Step 3: Cross multiply
    6,182.82x = 8,530.50 × 3,663.84
  4. Step 4: Simplify right side
    6,182.82x = 31,254,387.12
  5. Step 5: Solve for x
    x = 31,254,387.12/6,182.82
  6. Step 6: Final answer
    x = 5,055.04

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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.