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Finding the Fourth Proportional to 4,715.10, 7,072.65 and 4,447.80

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Solution

The fourth proportional to 4,715.10, 7,072.65 and 4,447.80 is: 6,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.10 : 7,072.65 = 4,447.80 : x
  2. Step 2: Convert to fraction form
    4,715.10/7,072.65 = 4,447.80/x
  3. Step 3: Cross multiply
    4,715.10x = 7,072.65 × 4,447.80
  4. Step 4: Simplify right side
    4,715.10x = 31,457,732.67
  5. Step 5: Solve for x
    x = 31,457,732.67/4,715.10
  6. Step 6: Final answer
    x = 6,671.70

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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.