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Finding the Fourth Proportional to 3,827.90, 5,744.28 and 1,638.47

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Solution

The fourth proportional to 3,827.90, 5,744.28 and 1,638.47 is: 2,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.90 : 5,744.28 = 1,638.47 : x
  2. Step 2: Convert to fraction form
    3,827.90/5,744.28 = 1,638.47/x
  3. Step 3: Cross multiply
    3,827.90x = 5,744.28 × 1,638.47
  4. Step 4: Simplify right side
    3,827.90x = 9,411,830.45
  5. Step 5: Solve for x
    x = 9,411,830.45/3,827.90
  6. Step 6: Final answer
    x = 2,458.75

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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.