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Finding the Fourth Proportional to 3,830.97, 5,748.68 and 1,492.59

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Solution

The fourth proportional to 3,830.97, 5,748.68 and 1,492.59 is: 2,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.97 : 5,748.68 = 1,492.59 : x
  2. Step 2: Convert to fraction form
    3,830.97/5,748.68 = 1,492.59/x
  3. Step 3: Cross multiply
    3,830.97x = 5,748.68 × 1,492.59
  4. Step 4: Simplify right side
    3,830.97x = 8,580,414.82
  5. Step 5: Solve for x
    x = 8,580,414.82/3,830.97
  6. Step 6: Final answer
    x = 2,239.75

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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.