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Finding the Fourth Proportional to 4,991.31, 7,488.70 and 1,706.72

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Solution

The fourth proportional to 4,991.31, 7,488.70 and 1,706.72 is: 2,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.31 : 7,488.70 = 1,706.72 : x
  2. Step 2: Convert to fraction form
    4,991.31/7,488.70 = 1,706.72/x
  3. Step 3: Cross multiply
    4,991.31x = 7,488.70 × 1,706.72
  4. Step 4: Simplify right side
    4,991.31x = 12,781,086.81
  5. Step 5: Solve for x
    x = 12,781,086.81/4,991.31
  6. Step 6: Final answer
    x = 2,560.67

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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.