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Finding the Fourth Proportional to 5,749.08, 8,629.65 and 5,095.14

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Solution

The fourth proportional to 5,749.08, 8,629.65 and 5,095.14 is: 7,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.08 : 8,629.65 = 5,095.14 : x
  2. Step 2: Convert to fraction form
    5,749.08/8,629.65 = 5,095.14/x
  3. Step 3: Cross multiply
    5,749.08x = 8,629.65 × 5,095.14
  4. Step 4: Simplify right side
    5,749.08x = 43,969,274.90
  5. Step 5: Solve for x
    x = 43,969,274.90/5,749.08
  6. Step 6: Final answer
    x = 7,648.05

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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.