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Finding the Fourth Proportional to 5,094.10, 7,649.04 and 3,158.59

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Solution

The fourth proportional to 5,094.10, 7,649.04 and 3,158.59 is: 4,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.10 : 7,649.04 = 3,158.59 : x
  2. Step 2: Convert to fraction form
    5,094.10/7,649.04 = 3,158.59/x
  3. Step 3: Cross multiply
    5,094.10x = 7,649.04 × 3,158.59
  4. Step 4: Simplify right side
    5,094.10x = 24,160,181.25
  5. Step 5: Solve for x
    x = 24,160,181.25/5,094.10
  6. Step 6: Final answer
    x = 4,742.78

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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.