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Finding the Fourth Proportional to 4,684.52, 6,467.30 and 3,114.74

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Solution

The fourth proportional to 4,684.52, 6,467.30 and 3,114.74 is: 4,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.52 : 6,467.30 = 3,114.74 : x
  2. Step 2: Convert to fraction form
    4,684.52/6,467.30 = 3,114.74/x
  3. Step 3: Cross multiply
    4,684.52x = 6,467.30 × 3,114.74
  4. Step 4: Simplify right side
    4,684.52x = 20,143,910.09
  5. Step 5: Solve for x
    x = 20,143,910.09/4,684.52
  6. Step 6: Final answer
    x = 4,300.11

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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.