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Finding the Fourth Proportional to 4,118.64, 6,175.08 and 1,520.88

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Solution

The fourth proportional to 4,118.64, 6,175.08 and 1,520.88 is: 2,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.64 : 6,175.08 = 1,520.88 : x
  2. Step 2: Convert to fraction form
    4,118.64/6,175.08 = 1,520.88/x
  3. Step 3: Cross multiply
    4,118.64x = 6,175.08 × 1,520.88
  4. Step 4: Simplify right side
    4,118.64x = 9,391,555.67
  5. Step 5: Solve for x
    x = 9,391,555.67/4,118.64
  6. Step 6: Final answer
    x = 2,280.26

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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.