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Finding the Fourth Proportional to 6,184.92, 8,535.24 and 3,390.44

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Solution

The fourth proportional to 6,184.92, 8,535.24 and 3,390.44 is: 4,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.92 : 8,535.24 = 3,390.44 : x
  2. Step 2: Convert to fraction form
    6,184.92/8,535.24 = 3,390.44/x
  3. Step 3: Cross multiply
    6,184.92x = 8,535.24 × 3,390.44
  4. Step 4: Simplify right side
    6,184.92x = 28,938,219.11
  5. Step 5: Solve for x
    x = 28,938,219.11/6,184.92
  6. Step 6: Final answer
    x = 4,678.83

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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.