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Finding the Fourth Proportional to 4,952.56, 7,426.76 and 1,831.92

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Solution

The fourth proportional to 4,952.56, 7,426.76 and 1,831.92 is: 2,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.56 : 7,426.76 = 1,831.92 : x
  2. Step 2: Convert to fraction form
    4,952.56/7,426.76 = 1,831.92/x
  3. Step 3: Cross multiply
    4,952.56x = 7,426.76 × 1,831.92
  4. Step 4: Simplify right side
    4,952.56x = 13,605,230.18
  5. Step 5: Solve for x
    x = 13,605,230.18/4,952.56
  6. Step 6: Final answer
    x = 2,747.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.