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Finding the Fourth Proportional to 5,674.46, 7,831.08 and 3,551.31

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Solution

The fourth proportional to 5,674.46, 7,831.08 and 3,551.31 is: 4,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.46 : 7,831.08 = 3,551.31 : x
  2. Step 2: Convert to fraction form
    5,674.46/7,831.08 = 3,551.31/x
  3. Step 3: Cross multiply
    5,674.46x = 7,831.08 × 3,551.31
  4. Step 4: Simplify right side
    5,674.46x = 27,810,592.71
  5. Step 5: Solve for x
    x = 27,810,592.71/5,674.46
  6. Step 6: Final answer
    x = 4,901.02

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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.