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Finding the Fourth Proportional to 4,684.10, 6,462.18 and 4,311.09

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Solution

The fourth proportional to 4,684.10, 6,462.18 and 4,311.09 is: 5,947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.10 : 6,462.18 = 4,311.09 : x
  2. Step 2: Convert to fraction form
    4,684.10/6,462.18 = 4,311.09/x
  3. Step 3: Cross multiply
    4,684.10x = 6,462.18 × 4,311.09
  4. Step 4: Simplify right side
    4,684.10x = 27,859,039.58
  5. Step 5: Solve for x
    x = 27,859,039.58/4,684.10
  6. Step 6: Final answer
    x = 5,947.58

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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.