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Finding the Fourth Proportional to 4,801.63, 7,202.45 and 1,338.88

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Solution

The fourth proportional to 4,801.63, 7,202.45 and 1,338.88 is: 2,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.63 : 7,202.45 = 1,338.88 : x
  2. Step 2: Convert to fraction form
    4,801.63/7,202.45 = 1,338.88/x
  3. Step 3: Cross multiply
    4,801.63x = 7,202.45 × 1,338.88
  4. Step 4: Simplify right side
    4,801.63x = 9,643,216.26
  5. Step 5: Solve for x
    x = 9,643,216.26/4,801.63
  6. Step 6: Final answer
    x = 2,008.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.