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Finding the Fourth Proportional to 3,785.62, 5,678.46 and 1,320.42

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Solution

The fourth proportional to 3,785.62, 5,678.46 and 1,320.42 is: 1,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.62 : 5,678.46 = 1,320.42 : x
  2. Step 2: Convert to fraction form
    3,785.62/5,678.46 = 1,320.42/x
  3. Step 3: Cross multiply
    3,785.62x = 5,678.46 × 1,320.42
  4. Step 4: Simplify right side
    3,785.62x = 7,497,952.15
  5. Step 5: Solve for x
    x = 7,497,952.15/3,785.62
  6. Step 6: Final answer
    x = 1,980.64

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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.