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Finding the Fourth Proportional to 4,950.56, 7,423.77 and 1,829.90

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Solution

The fourth proportional to 4,950.56, 7,423.77 and 1,829.90 is: 2,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.56 : 7,423.77 = 1,829.90 : x
  2. Step 2: Convert to fraction form
    4,950.56/7,423.77 = 1,829.90/x
  3. Step 3: Cross multiply
    4,950.56x = 7,423.77 × 1,829.90
  4. Step 4: Simplify right side
    4,950.56x = 13,584,756.72
  5. Step 5: Solve for x
    x = 13,584,756.72/4,950.56
  6. Step 6: Final answer
    x = 2,744.08

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