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Finding the Fourth Proportional to 4,552.95, 6,831.05 and 3,823.95

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Solution

The fourth proportional to 4,552.95, 6,831.05 and 3,823.95 is: 5,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.95 : 6,831.05 = 3,823.95 : x
  2. Step 2: Convert to fraction form
    4,552.95/6,831.05 = 3,823.95/x
  3. Step 3: Cross multiply
    4,552.95x = 6,831.05 × 3,823.95
  4. Step 4: Simplify right side
    4,552.95x = 26,121,574.53
  5. Step 5: Solve for x
    x = 26,121,574.53/4,552.95
  6. Step 6: Final answer
    x = 5,737.29

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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.