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Finding the Fourth Proportional to 3,455.64, 4,737.73 and 3,393.37

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Solution

The fourth proportional to 3,455.64, 4,737.73 and 3,393.37 is: 4,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.64 : 4,737.73 = 3,393.37 : x
  2. Step 2: Convert to fraction form
    3,455.64/4,737.73 = 3,393.37/x
  3. Step 3: Cross multiply
    3,455.64x = 4,737.73 × 3,393.37
  4. Step 4: Simplify right side
    3,455.64x = 16,076,870.85
  5. Step 5: Solve for x
    x = 16,076,870.85/3,455.64
  6. Step 6: Final answer
    x = 4,652.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.