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Finding the Fourth Proportional to 4,182.58, 6,274.35 and 1,408.30

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Solution

The fourth proportional to 4,182.58, 6,274.35 and 1,408.30 is: 2,112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.58 : 6,274.35 = 1,408.30 : x
  2. Step 2: Convert to fraction form
    4,182.58/6,274.35 = 1,408.30/x
  3. Step 3: Cross multiply
    4,182.58x = 6,274.35 × 1,408.30
  4. Step 4: Simplify right side
    4,182.58x = 8,836,167.11
  5. Step 5: Solve for x
    x = 8,836,167.11/4,182.58
  6. Step 6: Final answer
    x = 2,112.61

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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.