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Finding the Fourth Proportional to 3,785.37, 5,678.46 and 1,152.87

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Solution

The fourth proportional to 3,785.37, 5,678.46 and 1,152.87 is: 1,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.37 : 5,678.46 = 1,152.87 : x
  2. Step 2: Convert to fraction form
    3,785.37/5,678.46 = 1,152.87/x
  3. Step 3: Cross multiply
    3,785.37x = 5,678.46 × 1,152.87
  4. Step 4: Simplify right side
    3,785.37x = 6,546,526.18
  5. Step 5: Solve for x
    x = 6,546,526.18/3,785.37
  6. Step 6: Final answer
    x = 1,729.43

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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.