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Finding the Fourth Proportional to 3,874.32, 5,813.95 and 1,408.90

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Solution

The fourth proportional to 3,874.32, 5,813.95 and 1,408.90 is: 2,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.32 : 5,813.95 = 1,408.90 : x
  2. Step 2: Convert to fraction form
    3,874.32/5,813.95 = 1,408.90/x
  3. Step 3: Cross multiply
    3,874.32x = 5,813.95 × 1,408.90
  4. Step 4: Simplify right side
    3,874.32x = 8,191,274.16
  5. Step 5: Solve for x
    x = 8,191,274.16/3,874.32
  6. Step 6: Final answer
    x = 2,114.25

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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.