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Finding the Fourth Proportional to 4,952.01, 7,423.01 and 3,104.42

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Solution

The fourth proportional to 4,952.01, 7,423.01 and 3,104.42 is: 4,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.01 : 7,423.01 = 3,104.42 : x
  2. Step 2: Convert to fraction form
    4,952.01/7,423.01 = 3,104.42/x
  3. Step 3: Cross multiply
    4,952.01x = 7,423.01 × 3,104.42
  4. Step 4: Simplify right side
    4,952.01x = 23,044,152.35
  5. Step 5: Solve for x
    x = 23,044,152.35/4,952.01
  6. Step 6: Final answer
    x = 4,653.49

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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.