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Finding the Fourth Proportional to 4,359.63, 6,537.81 and 2,167.20

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Solution

The fourth proportional to 4,359.63, 6,537.81 and 2,167.20 is: 3,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359.63 : 6,537.81 = 2,167.20 : x
  2. Step 2: Convert to fraction form
    4,359.63/6,537.81 = 2,167.20/x
  3. Step 3: Cross multiply
    4,359.63x = 6,537.81 × 2,167.20
  4. Step 4: Simplify right side
    4,359.63x = 14,168,741.83
  5. Step 5: Solve for x
    x = 14,168,741.83/4,359.63
  6. Step 6: Final answer
    x = 3,249.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.