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Finding the Fourth Proportional to 4,242.84, 5,855.42 and 2,354.52

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Solution

The fourth proportional to 4,242.84, 5,855.42 and 2,354.52 is: 3,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.84 : 5,855.42 = 2,354.52 : x
  2. Step 2: Convert to fraction form
    4,242.84/5,855.42 = 2,354.52/x
  3. Step 3: Cross multiply
    4,242.84x = 5,855.42 × 2,354.52
  4. Step 4: Simplify right side
    4,242.84x = 13,786,703.50
  5. Step 5: Solve for x
    x = 13,786,703.50/4,242.84
  6. Step 6: Final answer
    x = 3,249.40

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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.