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Finding the Fourth Proportional to 4,893.64, 7,333.66 and 3,223.96

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Solution

The fourth proportional to 4,893.64, 7,333.66 and 3,223.96 is: 4,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.64 : 7,333.66 = 3,223.96 : x
  2. Step 2: Convert to fraction form
    4,893.64/7,333.66 = 3,223.96/x
  3. Step 3: Cross multiply
    4,893.64x = 7,333.66 × 3,223.96
  4. Step 4: Simplify right side
    4,893.64x = 23,643,426.49
  5. Step 5: Solve for x
    x = 23,643,426.49/4,893.64
  6. Step 6: Final answer
    x = 4,831.46

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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.