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Finding the Fourth Proportional to 3,808.40, 5,712.55 and 1,035.34

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Solution

The fourth proportional to 3,808.40, 5,712.55 and 1,035.34 is: 1,553.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.40 : 5,712.55 = 1,035.34 : x
  2. Step 2: Convert to fraction form
    3,808.40/5,712.55 = 1,035.34/x
  3. Step 3: Cross multiply
    3,808.40x = 5,712.55 × 1,035.34
  4. Step 4: Simplify right side
    3,808.40x = 5,914,431.52
  5. Step 5: Solve for x
    x = 5,914,431.52/3,808.40
  6. Step 6: Final answer
    x = 1,553.00

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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.