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Finding the Fourth Proportional to 4,325.46, 5,969.18 and 2,462.58

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Solution

The fourth proportional to 4,325.46, 5,969.18 and 2,462.58 is: 3,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325.46 : 5,969.18 = 2,462.58 : x
  2. Step 2: Convert to fraction form
    4,325.46/5,969.18 = 2,462.58/x
  3. Step 3: Cross multiply
    4,325.46x = 5,969.18 × 2,462.58
  4. Step 4: Simplify right side
    4,325.46x = 14,699,583.28
  5. Step 5: Solve for x
    x = 14,699,583.28/4,325.46
  6. Step 6: Final answer
    x = 3,398.39

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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.