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Finding the Fourth Proportional to 4,790.79, 7,187.04 and 1,829.12

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Solution

The fourth proportional to 4,790.79, 7,187.04 and 1,829.12 is: 2,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,790.79 : 7,187.04 = 1,829.12 : x
  2. Step 2: Convert to fraction form
    4,790.79/7,187.04 = 1,829.12/x
  3. Step 3: Cross multiply
    4,790.79x = 7,187.04 × 1,829.12
  4. Step 4: Simplify right side
    4,790.79x = 13,145,922.67
  5. Step 5: Solve for x
    x = 13,145,922.67/4,790.79
  6. Step 6: Final answer
    x = 2,744.00

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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.