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Finding the Fourth Proportional to 5,408.70, 8,117.85 and 4,631.10

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Solution

The fourth proportional to 5,408.70, 8,117.85 and 4,631.10 is: 6,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.70 : 8,117.85 = 4,631.10 : x
  2. Step 2: Convert to fraction form
    5,408.70/8,117.85 = 4,631.10/x
  3. Step 3: Cross multiply
    5,408.70x = 8,117.85 × 4,631.10
  4. Step 4: Simplify right side
    5,408.70x = 37,594,575.14
  5. Step 5: Solve for x
    x = 37,594,575.14/5,408.70
  6. Step 6: Final answer
    x = 6,950.76

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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.