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Finding the Fourth Proportional to 5,831.40, 8,047.26 and 3,178.74

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Solution

The fourth proportional to 5,831.40, 8,047.26 and 3,178.74 is: 4,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.40 : 8,047.26 = 3,178.74 : x
  2. Step 2: Convert to fraction form
    5,831.40/8,047.26 = 3,178.74/x
  3. Step 3: Cross multiply
    5,831.40x = 8,047.26 × 3,178.74
  4. Step 4: Simplify right side
    5,831.40x = 25,580,147.25
  5. Step 5: Solve for x
    x = 25,580,147.25/5,831.40
  6. Step 6: Final answer
    x = 4,386.62

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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.