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Finding the Fourth Proportional to 4,799.64, 7,200.67 and 2,027.01

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Solution

The fourth proportional to 4,799.64, 7,200.67 and 2,027.01 is: 3,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.64 : 7,200.67 = 2,027.01 : x
  2. Step 2: Convert to fraction form
    4,799.64/7,200.67 = 2,027.01/x
  3. Step 3: Cross multiply
    4,799.64x = 7,200.67 × 2,027.01
  4. Step 4: Simplify right side
    4,799.64x = 14,595,830.10
  5. Step 5: Solve for x
    x = 14,595,830.10/4,799.64
  6. Step 6: Final answer
    x = 3,041.03

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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.