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Finding the Fourth Proportional to 4,831.24, 7,246.02 and 1,910.40

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Solution

The fourth proportional to 4,831.24, 7,246.02 and 1,910.40 is: 2,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.24 : 7,246.02 = 1,910.40 : x
  2. Step 2: Convert to fraction form
    4,831.24/7,246.02 = 1,910.40/x
  3. Step 3: Cross multiply
    4,831.24x = 7,246.02 × 1,910.40
  4. Step 4: Simplify right side
    4,831.24x = 13,842,796.61
  5. Step 5: Solve for x
    x = 13,842,796.61/4,831.24
  6. Step 6: Final answer
    x = 2,865.27

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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.