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Finding the Fourth Proportional to 4,463.69, 6,686.82 and 2,120.36

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Solution

The fourth proportional to 4,463.69, 6,686.82 and 2,120.36 is: 3,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.69 : 6,686.82 = 2,120.36 : x
  2. Step 2: Convert to fraction form
    4,463.69/6,686.82 = 2,120.36/x
  3. Step 3: Cross multiply
    4,463.69x = 6,686.82 × 2,120.36
  4. Step 4: Simplify right side
    4,463.69x = 14,178,432.22
  5. Step 5: Solve for x
    x = 14,178,432.22/4,463.69
  6. Step 6: Final answer
    x = 3,176.40

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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.