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Finding the Fourth Proportional to 3,831.54, 5,287.80 and 2,152.92

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Solution

The fourth proportional to 3,831.54, 5,287.80 and 2,152.92 is: 2,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.54 : 5,287.80 = 2,152.92 : x
  2. Step 2: Convert to fraction form
    3,831.54/5,287.80 = 2,152.92/x
  3. Step 3: Cross multiply
    3,831.54x = 5,287.80 × 2,152.92
  4. Step 4: Simplify right side
    3,831.54x = 11,384,210.38
  5. Step 5: Solve for x
    x = 11,384,210.38/3,831.54
  6. Step 6: Final answer
    x = 2,971.18

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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.