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Finding the Fourth Proportional to 5,831.93, 8,047.86 and 3,442.03

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Solution

The fourth proportional to 5,831.93, 8,047.86 and 3,442.03 is: 4,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.93 : 8,047.86 = 3,442.03 : x
  2. Step 2: Convert to fraction form
    5,831.93/8,047.86 = 3,442.03/x
  3. Step 3: Cross multiply
    5,831.93x = 8,047.86 × 3,442.03
  4. Step 4: Simplify right side
    5,831.93x = 27,700,942.53
  5. Step 5: Solve for x
    x = 27,700,942.53/5,831.93
  6. Step 6: Final answer
    x = 4,749.87

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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.