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Finding the Fourth Proportional to 5,203.44, 7,802.04 and 2,388.75

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Solution

The fourth proportional to 5,203.44, 7,802.04 and 2,388.75 is: 3,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.44 : 7,802.04 = 2,388.75 : x
  2. Step 2: Convert to fraction form
    5,203.44/7,802.04 = 2,388.75/x
  3. Step 3: Cross multiply
    5,203.44x = 7,802.04 × 2,388.75
  4. Step 4: Simplify right side
    5,203.44x = 18,637,123.05
  5. Step 5: Solve for x
    x = 18,637,123.05/5,203.44
  6. Step 6: Final answer
    x = 3,581.69

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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.