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Finding the Fourth Proportional to 4,453.38, 6,146.10 and 3,706.02

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Solution

The fourth proportional to 4,453.38, 6,146.10 and 3,706.02 is: 5,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.38 : 6,146.10 = 3,706.02 : x
  2. Step 2: Convert to fraction form
    4,453.38/6,146.10 = 3,706.02/x
  3. Step 3: Cross multiply
    4,453.38x = 6,146.10 × 3,706.02
  4. Step 4: Simplify right side
    4,453.38x = 22,777,569.52
  5. Step 5: Solve for x
    x = 22,777,569.52/4,453.38
  6. Step 6: Final answer
    x = 5,114.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.