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Finding the Fourth Proportional to 4,342.54, 5,992.74 and 3,346

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Solution

The fourth proportional to 4,342.54, 5,992.74 and 3,346 is: 4,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.54 : 5,992.74 = 3,346 : x
  2. Step 2: Convert to fraction form
    4,342.54/5,992.74 = 3,346/x
  3. Step 3: Cross multiply
    4,342.54x = 5,992.74 × 3,346
  4. Step 4: Simplify right side
    4,342.54x = 20,051,708.04
  5. Step 5: Solve for x
    x = 20,051,708.04/4,342.54
  6. Step 6: Final answer
    x = 4,617.51

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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.