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Finding the Fourth Proportional to 5,748.86, 7,938.60 and 3,628.14

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Solution

The fourth proportional to 5,748.86, 7,938.60 and 3,628.14 is: 5,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.86 : 7,938.60 = 3,628.14 : x
  2. Step 2: Convert to fraction form
    5,748.86/7,938.60 = 3,628.14/x
  3. Step 3: Cross multiply
    5,748.86x = 7,938.60 × 3,628.14
  4. Step 4: Simplify right side
    5,748.86x = 28,802,352.20
  5. Step 5: Solve for x
    x = 28,802,352.20/5,748.86
  6. Step 6: Final answer
    x = 5,010.10

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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.