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Finding the Fourth Proportional to 4,802.42, 7,204.61 and 2,723.42

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Solution

The fourth proportional to 4,802.42, 7,204.61 and 2,723.42 is: 4,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.42 : 7,204.61 = 2,723.42 : x
  2. Step 2: Convert to fraction form
    4,802.42/7,204.61 = 2,723.42/x
  3. Step 3: Cross multiply
    4,802.42x = 7,204.61 × 2,723.42
  4. Step 4: Simplify right side
    4,802.42x = 19,621,203.79
  5. Step 5: Solve for x
    x = 19,621,203.79/4,802.42
  6. Step 6: Final answer
    x = 4,085.69

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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.