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Finding the Fourth Proportional to 4,912.16, 7,367.92 and 1,834.08

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Solution

The fourth proportional to 4,912.16, 7,367.92 and 1,834.08 is: 2,751.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.16 : 7,367.92 = 1,834.08 : x
  2. Step 2: Convert to fraction form
    4,912.16/7,367.92 = 1,834.08/x
  3. Step 3: Cross multiply
    4,912.16x = 7,367.92 × 1,834.08
  4. Step 4: Simplify right side
    4,912.16x = 13,513,354.71
  5. Step 5: Solve for x
    x = 13,513,354.71/4,912.16
  6. Step 6: Final answer
    x = 2,751.00

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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.