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Finding the Fourth Proportional to 4,114.52, 5,678.53 and 2,346.42

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Solution

The fourth proportional to 4,114.52, 5,678.53 and 2,346.42 is: 3,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.52 : 5,678.53 = 2,346.42 : x
  2. Step 2: Convert to fraction form
    4,114.52/5,678.53 = 2,346.42/x
  3. Step 3: Cross multiply
    4,114.52x = 5,678.53 × 2,346.42
  4. Step 4: Simplify right side
    4,114.52x = 13,324,210.50
  5. Step 5: Solve for x
    x = 13,324,210.50/4,114.52
  6. Step 6: Final answer
    x = 3,238.34

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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.