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Finding the Fourth Proportional to 4,801.68, 7,203.13 and 1,880.21

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Solution

The fourth proportional to 4,801.68, 7,203.13 and 1,880.21 is: 2,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.68 : 7,203.13 = 1,880.21 : x
  2. Step 2: Convert to fraction form
    4,801.68/7,203.13 = 1,880.21/x
  3. Step 3: Cross multiply
    4,801.68x = 7,203.13 × 1,880.21
  4. Step 4: Simplify right side
    4,801.68x = 13,543,410.36
  5. Step 5: Solve for x
    x = 13,543,410.36/4,801.68
  6. Step 6: Final answer
    x = 2,820.56

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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.