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Finding the Fourth Proportional to 4,114.08, 6,175.20 and 1,807.20

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Solution

The fourth proportional to 4,114.08, 6,175.20 and 1,807.20 is: 2,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.08 : 6,175.20 = 1,807.20 : x
  2. Step 2: Convert to fraction form
    4,114.08/6,175.20 = 1,807.20/x
  3. Step 3: Cross multiply
    4,114.08x = 6,175.20 × 1,807.20
  4. Step 4: Simplify right side
    4,114.08x = 11,159,821.44
  5. Step 5: Solve for x
    x = 11,159,821.44/4,114.08
  6. Step 6: Final answer
    x = 2,712.59

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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.