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Finding the Fourth Proportional to 4,706.60, 7,059.89 and 2,107.71

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Solution

The fourth proportional to 4,706.60, 7,059.89 and 2,107.71 is: 3,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.60 : 7,059.89 = 2,107.71 : x
  2. Step 2: Convert to fraction form
    4,706.60/7,059.89 = 2,107.71/x
  3. Step 3: Cross multiply
    4,706.60x = 7,059.89 × 2,107.71
  4. Step 4: Simplify right side
    4,706.60x = 14,880,206.02
  5. Step 5: Solve for x
    x = 14,880,206.02/4,706.60
  6. Step 6: Final answer
    x = 3,161.57

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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.