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Finding the Fourth Proportional to 4,633.16, 6,949.96 and 1,513.16

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Solution

The fourth proportional to 4,633.16, 6,949.96 and 1,513.16 is: 2,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.16 : 6,949.96 = 1,513.16 : x
  2. Step 2: Convert to fraction form
    4,633.16/6,949.96 = 1,513.16/x
  3. Step 3: Cross multiply
    4,633.16x = 6,949.96 × 1,513.16
  4. Step 4: Simplify right side
    4,633.16x = 10,516,389.00
  5. Step 5: Solve for x
    x = 10,516,389.00/4,633.16
  6. Step 6: Final answer
    x = 2,269.81

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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.