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Finding the Fourth Proportional to 3,503.76, 4,831.92 and 2,323.68

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Solution

The fourth proportional to 3,503.76, 4,831.92 and 2,323.68 is: 3,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.76 : 4,831.92 = 2,323.68 : x
  2. Step 2: Convert to fraction form
    3,503.76/4,831.92 = 2,323.68/x
  3. Step 3: Cross multiply
    3,503.76x = 4,831.92 × 2,323.68
  4. Step 4: Simplify right side
    3,503.76x = 11,227,835.87
  5. Step 5: Solve for x
    x = 11,227,835.87/3,503.76
  6. Step 6: Final answer
    x = 3,204.51

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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.