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Finding the Fourth Proportional to 3,424.91, 5,136 and 1,203.08

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Solution

The fourth proportional to 3,424.91, 5,136 and 1,203.08 is: 1,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.91 : 5,136 = 1,203.08 : x
  2. Step 2: Convert to fraction form
    3,424.91/5,136 = 1,203.08/x
  3. Step 3: Cross multiply
    3,424.91x = 5,136 × 1,203.08
  4. Step 4: Simplify right side
    3,424.91x = 6,178,993.20
  5. Step 5: Solve for x
    x = 6,178,993.20/3,424.91
  6. Step 6: Final answer
    x = 1,804.14

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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.