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Finding the Fourth Proportional to 3,414.29, 5,122.04 and 2,602.67

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Solution

The fourth proportional to 3,414.29, 5,122.04 and 2,602.67 is: 3,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.29 : 5,122.04 = 2,602.67 : x
  2. Step 2: Convert to fraction form
    3,414.29/5,122.04 = 2,602.67/x
  3. Step 3: Cross multiply
    3,414.29x = 5,122.04 × 2,602.67
  4. Step 4: Simplify right side
    3,414.29x = 13,330,941.22
  5. Step 5: Solve for x
    x = 13,330,941.22/3,414.29
  6. Step 6: Final answer
    x = 3,904.46

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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.