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Finding the Fourth Proportional to 4,615.92, 6,365.12 and 3,042

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Solution

The fourth proportional to 4,615.92, 6,365.12 and 3,042 is: 4,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.92 : 6,365.12 = 3,042 : x
  2. Step 2: Convert to fraction form
    4,615.92/6,365.12 = 3,042/x
  3. Step 3: Cross multiply
    4,615.92x = 6,365.12 × 3,042
  4. Step 4: Simplify right side
    4,615.92x = 19,362,695.04
  5. Step 5: Solve for x
    x = 19,362,695.04/4,615.92
  6. Step 6: Final answer
    x = 4,194.76

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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.