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Finding the Fourth Proportional to 4,356.34, 6,011.74 and 2,467.92

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Solution

The fourth proportional to 4,356.34, 6,011.74 and 2,467.92 is: 3,405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.34 : 6,011.74 = 2,467.92 : x
  2. Step 2: Convert to fraction form
    4,356.34/6,011.74 = 2,467.92/x
  3. Step 3: Cross multiply
    4,356.34x = 6,011.74 × 2,467.92
  4. Step 4: Simplify right side
    4,356.34x = 14,836,493.38
  5. Step 5: Solve for x
    x = 14,836,493.38/4,356.34
  6. Step 6: Final answer
    x = 3,405.72

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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.