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Finding the Fourth Proportional to 4,751.94, 7,125.84 and 1,828.19

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Solution

The fourth proportional to 4,751.94, 7,125.84 and 1,828.19 is: 2,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.94 : 7,125.84 = 1,828.19 : x
  2. Step 2: Convert to fraction form
    4,751.94/7,125.84 = 1,828.19/x
  3. Step 3: Cross multiply
    4,751.94x = 7,125.84 × 1,828.19
  4. Step 4: Simplify right side
    4,751.94x = 13,027,389.43
  5. Step 5: Solve for x
    x = 13,027,389.43/4,751.94
  6. Step 6: Final answer
    x = 2,741.49

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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.