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Finding the Fourth Proportional to 3,134.37, 4,703.50 and 2,842.40

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Solution

The fourth proportional to 3,134.37, 4,703.50 and 2,842.40 is: 4,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.37 : 4,703.50 = 2,842.40 : x
  2. Step 2: Convert to fraction form
    3,134.37/4,703.50 = 2,842.40/x
  3. Step 3: Cross multiply
    3,134.37x = 4,703.50 × 2,842.40
  4. Step 4: Simplify right side
    3,134.37x = 13,369,204.88
  5. Step 5: Solve for x
    x = 13,369,204.88/3,134.37
  6. Step 6: Final answer
    x = 4,265.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.