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Finding the Fourth Proportional to 4,093.52, 6,140.72 and 1,902

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Solution

The fourth proportional to 4,093.52, 6,140.72 and 1,902 is: 2,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.52 : 6,140.72 = 1,902 : x
  2. Step 2: Convert to fraction form
    4,093.52/6,140.72 = 1,902/x
  3. Step 3: Cross multiply
    4,093.52x = 6,140.72 × 1,902
  4. Step 4: Simplify right side
    4,093.52x = 11,679,649.44
  5. Step 5: Solve for x
    x = 11,679,649.44/4,093.52
  6. Step 6: Final answer
    x = 2,853.20

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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.