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Finding the Fourth Proportional to 4,831.48, 7,235.70 and 3,727.80

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Solution

The fourth proportional to 4,831.48, 7,235.70 and 3,727.80 is: 5,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.48 : 7,235.70 = 3,727.80 : x
  2. Step 2: Convert to fraction form
    4,831.48/7,235.70 = 3,727.80/x
  3. Step 3: Cross multiply
    4,831.48x = 7,235.70 × 3,727.80
  4. Step 4: Simplify right side
    4,831.48x = 26,973,242.46
  5. Step 5: Solve for x
    x = 26,973,242.46/4,831.48
  6. Step 6: Final answer
    x = 5,582.81

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