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Finding the Fourth Proportional to 5,759.50, 7,948.20 and 3,666.46

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Solution

The fourth proportional to 5,759.50, 7,948.20 and 3,666.46 is: 5,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.50 : 7,948.20 = 3,666.46 : x
  2. Step 2: Convert to fraction form
    5,759.50/7,948.20 = 3,666.46/x
  3. Step 3: Cross multiply
    5,759.50x = 7,948.20 × 3,666.46
  4. Step 4: Simplify right side
    5,759.50x = 29,141,757.37
  5. Step 5: Solve for x
    x = 29,141,757.37/5,759.50
  6. Step 6: Final answer
    x = 5,059.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.