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Finding the Fourth Proportional to 3,854.70, 5,783.85 and 2,007.90

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Solution

The fourth proportional to 3,854.70, 5,783.85 and 2,007.90 is: 3,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.70 : 5,783.85 = 2,007.90 : x
  2. Step 2: Convert to fraction form
    3,854.70/5,783.85 = 2,007.90/x
  3. Step 3: Cross multiply
    3,854.70x = 5,783.85 × 2,007.90
  4. Step 4: Simplify right side
    3,854.70x = 11,613,392.42
  5. Step 5: Solve for x
    x = 11,613,392.42/3,854.70
  6. Step 6: Final answer
    x = 3,012.79

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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.