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Finding the Fourth Proportional to 5,222.04, 7,831.12 and 3,661.24

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Solution

The fourth proportional to 5,222.04, 7,831.12 and 3,661.24 is: 5,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.04 : 7,831.12 = 3,661.24 : x
  2. Step 2: Convert to fraction form
    5,222.04/7,831.12 = 3,661.24/x
  3. Step 3: Cross multiply
    5,222.04x = 7,831.12 × 3,661.24
  4. Step 4: Simplify right side
    5,222.04x = 28,671,609.79
  5. Step 5: Solve for x
    x = 28,671,609.79/5,222.04
  6. Step 6: Final answer
    x = 5,490.50

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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.