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Finding the Fourth Proportional to 5,831.54, 8,740.92 and 3,637.24

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Solution

The fourth proportional to 5,831.54, 8,740.92 and 3,637.24 is: 5,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.54 : 8,740.92 = 3,637.24 : x
  2. Step 2: Convert to fraction form
    5,831.54/8,740.92 = 3,637.24/x
  3. Step 3: Cross multiply
    5,831.54x = 8,740.92 × 3,637.24
  4. Step 4: Simplify right side
    5,831.54x = 31,792,823.86
  5. Step 5: Solve for x
    x = 31,792,823.86/5,831.54
  6. Step 6: Final answer
    x = 5,451.87

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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.