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Finding the Fourth Proportional to 5,831.60, 8,045.02 and 3,942.48

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Solution

The fourth proportional to 5,831.60, 8,045.02 and 3,942.48 is: 5,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.60 : 8,045.02 = 3,942.48 : x
  2. Step 2: Convert to fraction form
    5,831.60/8,045.02 = 3,942.48/x
  3. Step 3: Cross multiply
    5,831.60x = 8,045.02 × 3,942.48
  4. Step 4: Simplify right side
    5,831.60x = 31,717,330.45
  5. Step 5: Solve for x
    x = 31,717,330.45/5,831.60
  6. Step 6: Final answer
    x = 5,438.87

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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.