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Finding the Fourth Proportional to 4,185.62, 5,776.38 and 2,393.63

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Solution

The fourth proportional to 4,185.62, 5,776.38 and 2,393.63 is: 3,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.62 : 5,776.38 = 2,393.63 : x
  2. Step 2: Convert to fraction form
    4,185.62/5,776.38 = 2,393.63/x
  3. Step 3: Cross multiply
    4,185.62x = 5,776.38 × 2,393.63
  4. Step 4: Simplify right side
    4,185.62x = 13,826,516.46
  5. Step 5: Solve for x
    x = 13,826,516.46/4,185.62
  6. Step 6: Final answer
    x = 3,303.34

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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.