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Finding the Fourth Proportional to 3,649.92, 5,032.08 and 3,059.52

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Solution

The fourth proportional to 3,649.92, 5,032.08 and 3,059.52 is: 4,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.92 : 5,032.08 = 3,059.52 : x
  2. Step 2: Convert to fraction form
    3,649.92/5,032.08 = 3,059.52/x
  3. Step 3: Cross multiply
    3,649.92x = 5,032.08 × 3,059.52
  4. Step 4: Simplify right side
    3,649.92x = 15,395,749.40
  5. Step 5: Solve for x
    x = 15,395,749.40/3,649.92
  6. Step 6: Final answer
    x = 4,218.11

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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.