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Finding the Fourth Proportional to 3,798.14, 5,697.60 and 1,332.68

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Solution

The fourth proportional to 3,798.14, 5,697.60 and 1,332.68 is: 1,999.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.14 : 5,697.60 = 1,332.68 : x
  2. Step 2: Convert to fraction form
    3,798.14/5,697.60 = 1,332.68/x
  3. Step 3: Cross multiply
    3,798.14x = 5,697.60 × 1,332.68
  4. Step 4: Simplify right side
    3,798.14x = 7,593,077.57
  5. Step 5: Solve for x
    x = 7,593,077.57/3,798.14
  6. Step 6: Final answer
    x = 1,999.16

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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.