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Finding the Fourth Proportional to 4,952.82, 7,425.18 and 1,830.84

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Solution

The fourth proportional to 4,952.82, 7,425.18 and 1,830.84 is: 2,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.82 : 7,425.18 = 1,830.84 : x
  2. Step 2: Convert to fraction form
    4,952.82/7,425.18 = 1,830.84/x
  3. Step 3: Cross multiply
    4,952.82x = 7,425.18 × 1,830.84
  4. Step 4: Simplify right side
    4,952.82x = 13,594,316.55
  5. Step 5: Solve for x
    x = 13,594,316.55/4,952.82
  6. Step 6: Final answer
    x = 2,744.76

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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.