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Finding the Fourth Proportional to 4,705.29, 6,493.17 and 2,715.78

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Solution

The fourth proportional to 4,705.29, 6,493.17 and 2,715.78 is: 3,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.29 : 6,493.17 = 2,715.78 : x
  2. Step 2: Convert to fraction form
    4,705.29/6,493.17 = 2,715.78/x
  3. Step 3: Cross multiply
    4,705.29x = 6,493.17 × 2,715.78
  4. Step 4: Simplify right side
    4,705.29x = 17,634,021.22
  5. Step 5: Solve for x
    x = 17,634,021.22/4,705.29
  6. Step 6: Final answer
    x = 3,747.70

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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.