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Finding the Fourth Proportional to 3,495.61, 5,227.20 and 2,706.67

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Solution

The fourth proportional to 3,495.61, 5,227.20 and 2,706.67 is: 4,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.61 : 5,227.20 = 2,706.67 : x
  2. Step 2: Convert to fraction form
    3,495.61/5,227.20 = 2,706.67/x
  3. Step 3: Cross multiply
    3,495.61x = 5,227.20 × 2,706.67
  4. Step 4: Simplify right side
    3,495.61x = 14,148,305.42
  5. Step 5: Solve for x
    x = 14,148,305.42/3,495.61
  6. Step 6: Final answer
    x = 4,047.45

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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.