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Finding the Fourth Proportional to 4,093.84, 6,140.82 and 1,496.75

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Solution

The fourth proportional to 4,093.84, 6,140.82 and 1,496.75 is: 2,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.84 : 6,140.82 = 1,496.75 : x
  2. Step 2: Convert to fraction form
    4,093.84/6,140.82 = 1,496.75/x
  3. Step 3: Cross multiply
    4,093.84x = 6,140.82 × 1,496.75
  4. Step 4: Simplify right side
    4,093.84x = 9,191,272.34
  5. Step 5: Solve for x
    x = 9,191,272.34/4,093.84
  6. Step 6: Final answer
    x = 2,245.15

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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.