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Finding the Fourth Proportional to 4,684.92, 7,014.70 and 2,925.71

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Solution

The fourth proportional to 4,684.92, 7,014.70 and 2,925.71 is: 4,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.92 : 7,014.70 = 2,925.71 : x
  2. Step 2: Convert to fraction form
    4,684.92/7,014.70 = 2,925.71/x
  3. Step 3: Cross multiply
    4,684.92x = 7,014.70 × 2,925.71
  4. Step 4: Simplify right side
    4,684.92x = 20,522,977.94
  5. Step 5: Solve for x
    x = 20,522,977.94/4,684.92
  6. Step 6: Final answer
    x = 4,380.65

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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.