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Finding the Fourth Proportional to 3,898.60, 5,378.40 and 2,405.37

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Solution

The fourth proportional to 3,898.60, 5,378.40 and 2,405.37 is: 3,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.60 : 5,378.40 = 2,405.37 : x
  2. Step 2: Convert to fraction form
    3,898.60/5,378.40 = 2,405.37/x
  3. Step 3: Cross multiply
    3,898.60x = 5,378.40 × 2,405.37
  4. Step 4: Simplify right side
    3,898.60x = 12,937,042.01
  5. Step 5: Solve for x
    x = 12,937,042.01/3,898.60
  6. Step 6: Final answer
    x = 3,318.38

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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.