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Finding the Fourth Proportional to 3,808.10, 5,712.32 and 1,342.94

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Solution

The fourth proportional to 3,808.10, 5,712.32 and 1,342.94 is: 2,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.10 : 5,712.32 = 1,342.94 : x
  2. Step 2: Convert to fraction form
    3,808.10/5,712.32 = 1,342.94/x
  3. Step 3: Cross multiply
    3,808.10x = 5,712.32 × 1,342.94
  4. Step 4: Simplify right side
    3,808.10x = 7,671,302.39
  5. Step 5: Solve for x
    x = 7,671,302.39/3,808.10
  6. Step 6: Final answer
    x = 2,014.47

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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.