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Finding the Fourth Proportional to 5,756.34, 7,941.06 and 3,739.62

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Solution

The fourth proportional to 5,756.34, 7,941.06 and 3,739.62 is: 5,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.34 : 7,941.06 = 3,739.62 : x
  2. Step 2: Convert to fraction form
    5,756.34/7,941.06 = 3,739.62/x
  3. Step 3: Cross multiply
    5,756.34x = 7,941.06 × 3,739.62
  4. Step 4: Simplify right side
    5,756.34x = 29,696,546.80
  5. Step 5: Solve for x
    x = 29,696,546.80/5,756.34
  6. Step 6: Final answer
    x = 5,158.93

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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.