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Finding the Fourth Proportional to 5,831.74, 8,051.43 and 3,708.46

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Solution

The fourth proportional to 5,831.74, 8,051.43 and 3,708.46 is: 5,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.74 : 8,051.43 = 3,708.46 : x
  2. Step 2: Convert to fraction form
    5,831.74/8,051.43 = 3,708.46/x
  3. Step 3: Cross multiply
    5,831.74x = 8,051.43 × 3,708.46
  4. Step 4: Simplify right side
    5,831.74x = 29,858,406.10
  5. Step 5: Solve for x
    x = 29,858,406.10/5,831.74
  6. Step 6: Final answer
    x = 5,119.98

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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.