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Finding the Fourth Proportional to 4,957.49, 6,839.55 and 2,831.49

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Solution

The fourth proportional to 4,957.49, 6,839.55 and 2,831.49 is: 3,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.49 : 6,839.55 = 2,831.49 : x
  2. Step 2: Convert to fraction form
    4,957.49/6,839.55 = 2,831.49/x
  3. Step 3: Cross multiply
    4,957.49x = 6,839.55 × 2,831.49
  4. Step 4: Simplify right side
    4,957.49x = 19,366,117.43
  5. Step 5: Solve for x
    x = 19,366,117.43/4,957.49
  6. Step 6: Final answer
    x = 3,906.44

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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.