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Finding the Fourth Proportional to 7,354.26, 10,148.58 and 3,997

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Solution

The fourth proportional to 7,354.26, 10,148.58 and 3,997 is: 5,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.26 : 10,148.58 = 3,997 : x
  2. Step 2: Convert to fraction form
    7,354.26/10,148.58 = 3,997/x
  3. Step 3: Cross multiply
    7,354.26x = 10,148.58 × 3,997
  4. Step 4: Simplify right side
    7,354.26x = 40,563,874.26
  5. Step 5: Solve for x
    x = 40,563,874.26/7,354.26
  6. Step 6: Final answer
    x = 5,515.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.