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Finding the Fourth Proportional to 5,749.49, 8,627.18 and 2,461.70

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Solution

The fourth proportional to 5,749.49, 8,627.18 and 2,461.70 is: 3,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.49 : 8,627.18 = 2,461.70 : x
  2. Step 2: Convert to fraction form
    5,749.49/8,627.18 = 2,461.70/x
  3. Step 3: Cross multiply
    5,749.49x = 8,627.18 × 2,461.70
  4. Step 4: Simplify right side
    5,749.49x = 21,237,538.27
  5. Step 5: Solve for x
    x = 21,237,538.27/5,749.49
  6. Step 6: Final answer
    x = 3,693.81

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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.