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Finding the Fourth Proportional to 5,953.46, 8,212.02 and 3,831.74

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Solution

The fourth proportional to 5,953.46, 8,212.02 and 3,831.74 is: 5,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.46 : 8,212.02 = 3,831.74 : x
  2. Step 2: Convert to fraction form
    5,953.46/8,212.02 = 3,831.74/x
  3. Step 3: Cross multiply
    5,953.46x = 8,212.02 × 3,831.74
  4. Step 4: Simplify right side
    5,953.46x = 31,466,325.51
  5. Step 5: Solve for x
    x = 31,466,325.51/5,953.46
  6. Step 6: Final answer
    x = 5,285.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.