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Finding the Fourth Proportional to 4,102.47, 5,662.44 and 2,334.65

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Solution

The fourth proportional to 4,102.47, 5,662.44 and 2,334.65 is: 3,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.47 : 5,662.44 = 2,334.65 : x
  2. Step 2: Convert to fraction form
    4,102.47/5,662.44 = 2,334.65/x
  3. Step 3: Cross multiply
    4,102.47x = 5,662.44 × 2,334.65
  4. Step 4: Simplify right side
    4,102.47x = 13,219,787.23
  5. Step 5: Solve for x
    x = 13,219,787.23/4,102.47
  6. Step 6: Final answer
    x = 3,222.40

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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.