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Finding the Fourth Proportional to 5,106.59, 7,659.31 and 1,774.20

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Solution

The fourth proportional to 5,106.59, 7,659.31 and 1,774.20 is: 2,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.59 : 7,659.31 = 1,774.20 : x
  2. Step 2: Convert to fraction form
    5,106.59/7,659.31 = 1,774.20/x
  3. Step 3: Cross multiply
    5,106.59x = 7,659.31 × 1,774.20
  4. Step 4: Simplify right side
    5,106.59x = 13,589,175.42
  5. Step 5: Solve for x
    x = 13,589,175.42/5,106.59
  6. Step 6: Final answer
    x = 2,661.10

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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.