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Finding the Fourth Proportional to 4,948.72, 7,426.82 and 1,830.62

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Solution

The fourth proportional to 4,948.72, 7,426.82 and 1,830.62 is: 2,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.72 : 7,426.82 = 1,830.62 : x
  2. Step 2: Convert to fraction form
    4,948.72/7,426.82 = 1,830.62/x
  3. Step 3: Cross multiply
    4,948.72x = 7,426.82 × 1,830.62
  4. Step 4: Simplify right side
    4,948.72x = 13,595,708.37
  5. Step 5: Solve for x
    x = 13,595,708.37/4,948.72
  6. Step 6: Final answer
    x = 2,747.32

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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.