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Finding the Fourth Proportional to 4,002.35, 6,004.80 and 1,810.49

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Solution

The fourth proportional to 4,002.35, 6,004.80 and 1,810.49 is: 2,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.35 : 6,004.80 = 1,810.49 : x
  2. Step 2: Convert to fraction form
    4,002.35/6,004.80 = 1,810.49/x
  3. Step 3: Cross multiply
    4,002.35x = 6,004.80 × 1,810.49
  4. Step 4: Simplify right side
    4,002.35x = 10,871,600.33
  5. Step 5: Solve for x
    x = 10,871,600.33/4,002.35
  6. Step 6: Final answer
    x = 2,716.31

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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.