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Finding the Fourth Proportional to 4,297.63, 5,930.98 and 2,409.12

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Solution

The fourth proportional to 4,297.63, 5,930.98 and 2,409.12 is: 3,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.63 : 5,930.98 = 2,409.12 : x
  2. Step 2: Convert to fraction form
    4,297.63/5,930.98 = 2,409.12/x
  3. Step 3: Cross multiply
    4,297.63x = 5,930.98 × 2,409.12
  4. Step 4: Simplify right side
    4,297.63x = 14,288,430.49
  5. Step 5: Solve for x
    x = 14,288,430.49/4,297.63
  6. Step 6: Final answer
    x = 3,324.72

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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.