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Finding the Fourth Proportional to 5,712.12, 8,564.94 and 3,405.24

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Solution

The fourth proportional to 5,712.12, 8,564.94 and 3,405.24 is: 5,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.12 : 8,564.94 = 3,405.24 : x
  2. Step 2: Convert to fraction form
    5,712.12/8,564.94 = 3,405.24/x
  3. Step 3: Cross multiply
    5,712.12x = 8,564.94 × 3,405.24
  4. Step 4: Simplify right side
    5,712.12x = 29,165,676.29
  5. Step 5: Solve for x
    x = 29,165,676.29/5,712.12
  6. Step 6: Final answer
    x = 5,105.93

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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.