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Finding the Fourth Proportional to 3,784.01, 5,676.03 and 1,318.25

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Solution

The fourth proportional to 3,784.01, 5,676.03 and 1,318.25 is: 1,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.01 : 5,676.03 = 1,318.25 : x
  2. Step 2: Convert to fraction form
    3,784.01/5,676.03 = 1,318.25/x
  3. Step 3: Cross multiply
    3,784.01x = 5,676.03 × 1,318.25
  4. Step 4: Simplify right side
    3,784.01x = 7,482,426.55
  5. Step 5: Solve for x
    x = 7,482,426.55/3,784.01
  6. Step 6: Final answer
    x = 1,977.38

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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.