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Finding the Fourth Proportional to 4,115.58, 6,175.80 and 1,520.34

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Solution

The fourth proportional to 4,115.58, 6,175.80 and 1,520.34 is: 2,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.58 : 6,175.80 = 1,520.34 : x
  2. Step 2: Convert to fraction form
    4,115.58/6,175.80 = 1,520.34/x
  3. Step 3: Cross multiply
    4,115.58x = 6,175.80 × 1,520.34
  4. Step 4: Simplify right side
    4,115.58x = 9,389,315.77
  5. Step 5: Solve for x
    x = 9,389,315.77/4,115.58
  6. Step 6: Final answer
    x = 2,281.41

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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.