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Finding the Fourth Proportional to 3,785.64, 5,677.82 and 1,049

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Solution

The fourth proportional to 3,785.64, 5,677.82 and 1,049 is: 1,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.64 : 5,677.82 = 1,049 : x
  2. Step 2: Convert to fraction form
    3,785.64/5,677.82 = 1,049/x
  3. Step 3: Cross multiply
    3,785.64x = 5,677.82 × 1,049
  4. Step 4: Simplify right side
    3,785.64x = 5,956,033.18
  5. Step 5: Solve for x
    x = 5,956,033.18/3,785.64
  6. Step 6: Final answer
    x = 1,573.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.