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Finding the Fourth Proportional to 4,107.58, 6,162.80 and 2,256.34

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Solution

The fourth proportional to 4,107.58, 6,162.80 and 2,256.34 is: 3,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.58 : 6,162.80 = 2,256.34 : x
  2. Step 2: Convert to fraction form
    4,107.58/6,162.80 = 2,256.34/x
  3. Step 3: Cross multiply
    4,107.58x = 6,162.80 × 2,256.34
  4. Step 4: Simplify right side
    4,107.58x = 13,905,372.15
  5. Step 5: Solve for x
    x = 13,905,372.15/4,107.58
  6. Step 6: Final answer
    x = 3,385.30

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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.