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Finding the Fourth Proportional to 5,253.75, 7,875.31 and 3,406.04

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Solution

The fourth proportional to 5,253.75, 7,875.31 and 3,406.04 is: 5,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.75 : 7,875.31 = 3,406.04 : x
  2. Step 2: Convert to fraction form
    5,253.75/7,875.31 = 3,406.04/x
  3. Step 3: Cross multiply
    5,253.75x = 7,875.31 × 3,406.04
  4. Step 4: Simplify right side
    5,253.75x = 26,823,592.67
  5. Step 5: Solve for x
    x = 26,823,592.67/5,253.75
  6. Step 6: Final answer
    x = 5,105.61

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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.