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Finding the Fourth Proportional to 5,221.53, 7,831.93 and 2,448.81

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Solution

The fourth proportional to 5,221.53, 7,831.93 and 2,448.81 is: 3,673.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.53 : 7,831.93 = 2,448.81 : x
  2. Step 2: Convert to fraction form
    5,221.53/7,831.93 = 2,448.81/x
  3. Step 3: Cross multiply
    5,221.53x = 7,831.93 × 2,448.81
  4. Step 4: Simplify right side
    5,221.53x = 19,178,908.50
  5. Step 5: Solve for x
    x = 19,178,908.50/5,221.53
  6. Step 6: Final answer
    x = 3,673.04

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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.