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Finding the Fourth Proportional to 3,802.52, 5,700.12 and 1,203.68

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Solution

The fourth proportional to 3,802.52, 5,700.12 and 1,203.68 is: 1,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.52 : 5,700.12 = 1,203.68 : x
  2. Step 2: Convert to fraction form
    3,802.52/5,700.12 = 1,203.68/x
  3. Step 3: Cross multiply
    3,802.52x = 5,700.12 × 1,203.68
  4. Step 4: Simplify right side
    3,802.52x = 6,861,120.44
  5. Step 5: Solve for x
    x = 6,861,120.44/3,802.52
  6. Step 6: Final answer
    x = 1,804.36

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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.