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Finding the Fourth Proportional to 4,835.64, 7,253.42 and 1,372.90

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Solution

The fourth proportional to 4,835.64, 7,253.42 and 1,372.90 is: 2,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.64 : 7,253.42 = 1,372.90 : x
  2. Step 2: Convert to fraction form
    4,835.64/7,253.42 = 1,372.90/x
  3. Step 3: Cross multiply
    4,835.64x = 7,253.42 × 1,372.90
  4. Step 4: Simplify right side
    4,835.64x = 9,958,220.32
  5. Step 5: Solve for x
    x = 9,958,220.32/4,835.64
  6. Step 6: Final answer
    x = 2,059.34

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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.