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Finding the Fourth Proportional to 3,902.65, 5,396.03 and 3,410.58

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Solution

The fourth proportional to 3,902.65, 5,396.03 and 3,410.58 is: 4,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.65 : 5,396.03 = 3,410.58 : x
  2. Step 2: Convert to fraction form
    3,902.65/5,396.03 = 3,410.58/x
  3. Step 3: Cross multiply
    3,902.65x = 5,396.03 × 3,410.58
  4. Step 4: Simplify right side
    3,902.65x = 18,403,592.00
  5. Step 5: Solve for x
    x = 18,403,592.00/3,902.65
  6. Step 6: Final answer
    x = 4,715.67

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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.