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Finding the Fourth Proportional to 4,834.90, 6,676.32 and 4,037.86

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Solution

The fourth proportional to 4,834.90, 6,676.32 and 4,037.86 is: 5,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.90 : 6,676.32 = 4,037.86 : x
  2. Step 2: Convert to fraction form
    4,834.90/6,676.32 = 4,037.86/x
  3. Step 3: Cross multiply
    4,834.90x = 6,676.32 × 4,037.86
  4. Step 4: Simplify right side
    4,834.90x = 26,958,045.48
  5. Step 5: Solve for x
    x = 26,958,045.48/4,834.90
  6. Step 6: Final answer
    x = 5,575.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.