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Finding the Fourth Proportional to 4,294.76, 5,926.94 and 2,431.76

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Solution

The fourth proportional to 4,294.76, 5,926.94 and 2,431.76 is: 3,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.76 : 5,926.94 = 2,431.76 : x
  2. Step 2: Convert to fraction form
    4,294.76/5,926.94 = 2,431.76/x
  3. Step 3: Cross multiply
    4,294.76x = 5,926.94 × 2,431.76
  4. Step 4: Simplify right side
    4,294.76x = 14,412,895.61
  5. Step 5: Solve for x
    x = 14,412,895.61/4,294.76
  6. Step 6: Final answer
    x = 3,355.93

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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.