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Finding the Fourth Proportional to 4,114.86, 5,678.51 and 2,346.48

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Solution

The fourth proportional to 4,114.86, 5,678.51 and 2,346.48 is: 3,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.86 : 5,678.51 = 2,346.48 : x
  2. Step 2: Convert to fraction form
    4,114.86/5,678.51 = 2,346.48/x
  3. Step 3: Cross multiply
    4,114.86x = 5,678.51 × 2,346.48
  4. Step 4: Simplify right side
    4,114.86x = 13,324,510.14
  5. Step 5: Solve for x
    x = 13,324,510.14/4,114.86
  6. Step 6: Final answer
    x = 3,238.14

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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.