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Finding the Fourth Proportional to 2,992.17, 4,465.63 and 2,914.41

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Solution

The fourth proportional to 2,992.17, 4,465.63 and 2,914.41 is: 4,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.17 : 4,465.63 = 2,914.41 : x
  2. Step 2: Convert to fraction form
    2,992.17/4,465.63 = 2,914.41/x
  3. Step 3: Cross multiply
    2,992.17x = 4,465.63 × 2,914.41
  4. Step 4: Simplify right side
    2,992.17x = 13,014,676.73
  5. Step 5: Solve for x
    x = 13,014,676.73/2,992.17
  6. Step 6: Final answer
    x = 4,349.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.