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Finding the Fourth Proportional to 4,294.95, 5,930.46 and 2,860.71

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Solution

The fourth proportional to 4,294.95, 5,930.46 and 2,860.71 is: 3,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.95 : 5,930.46 = 2,860.71 : x
  2. Step 2: Convert to fraction form
    4,294.95/5,930.46 = 2,860.71/x
  3. Step 3: Cross multiply
    4,294.95x = 5,930.46 × 2,860.71
  4. Step 4: Simplify right side
    4,294.95x = 16,965,337.74
  5. Step 5: Solve for x
    x = 16,965,337.74/4,294.95
  6. Step 6: Final answer
    x = 3,950.07

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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.