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Finding the Fourth Proportional to 6,032.76, 9,042.91 and 2,524.81

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Solution

The fourth proportional to 6,032.76, 9,042.91 and 2,524.81 is: 3,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.76 : 9,042.91 = 2,524.81 : x
  2. Step 2: Convert to fraction form
    6,032.76/9,042.91 = 2,524.81/x
  3. Step 3: Cross multiply
    6,032.76x = 9,042.91 × 2,524.81
  4. Step 4: Simplify right side
    6,032.76x = 22,831,629.60
  5. Step 5: Solve for x
    x = 22,831,629.60/6,032.76
  6. Step 6: Final answer
    x = 3,784.61

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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.