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Finding the Fourth Proportional to 3,421.36, 4,729.44 and 3,052.00

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Solution

The fourth proportional to 3,421.36, 4,729.44 and 3,052.00 is: 4,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.36 : 4,729.44 = 3,052.00 : x
  2. Step 2: Convert to fraction form
    3,421.36/4,729.44 = 3,052.00/x
  3. Step 3: Cross multiply
    3,421.36x = 4,729.44 × 3,052.00
  4. Step 4: Simplify right side
    3,421.36x = 14,434,250.50
  5. Step 5: Solve for x
    x = 14,434,250.50/3,421.36
  6. Step 6: Final answer
    x = 4,218.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.