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Finding the Fourth Proportional to 3,430.64, 4,732.44 and 2,380.88

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Solution

The fourth proportional to 3,430.64, 4,732.44 and 2,380.88 is: 3,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.64 : 4,732.44 = 2,380.88 : x
  2. Step 2: Convert to fraction form
    3,430.64/4,732.44 = 2,380.88/x
  3. Step 3: Cross multiply
    3,430.64x = 4,732.44 × 2,380.88
  4. Step 4: Simplify right side
    3,430.64x = 11,267,371.75
  5. Step 5: Solve for x
    x = 11,267,371.75/3,430.64
  6. Step 6: Final answer
    x = 3,284.34

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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.