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Finding the Fourth Proportional to 5,955.63, 8,214.03 and 3,831.41

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Solution

The fourth proportional to 5,955.63, 8,214.03 and 3,831.41 is: 5,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,955.63 : 8,214.03 = 3,831.41 : x
  2. Step 2: Convert to fraction form
    5,955.63/8,214.03 = 3,831.41/x
  3. Step 3: Cross multiply
    5,955.63x = 8,214.03 × 3,831.41
  4. Step 4: Simplify right side
    5,955.63x = 31,471,275.61
  5. Step 5: Solve for x
    x = 31,471,275.61/5,955.63
  6. Step 6: Final answer
    x = 5,284.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.