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Finding the Fourth Proportional to 4,899.16, 7,347.77 and 2,399.28

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Solution

The fourth proportional to 4,899.16, 7,347.77 and 2,399.28 is: 3,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.16 : 7,347.77 = 2,399.28 : x
  2. Step 2: Convert to fraction form
    4,899.16/7,347.77 = 2,399.28/x
  3. Step 3: Cross multiply
    4,899.16x = 7,347.77 × 2,399.28
  4. Step 4: Simplify right side
    4,899.16x = 17,629,327.05
  5. Step 5: Solve for x
    x = 17,629,327.05/4,899.16
  6. Step 6: Final answer
    x = 3,598.44

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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.