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Finding the Fourth Proportional to 4,303.92, 5,942.16 and 3,549.36

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Solution

The fourth proportional to 4,303.92, 5,942.16 and 3,549.36 is: 4,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.92 : 5,942.16 = 3,549.36 : x
  2. Step 2: Convert to fraction form
    4,303.92/5,942.16 = 3,549.36/x
  3. Step 3: Cross multiply
    4,303.92x = 5,942.16 × 3,549.36
  4. Step 4: Simplify right side
    4,303.92x = 21,090,865.02
  5. Step 5: Solve for x
    x = 21,090,865.02/4,303.92
  6. Step 6: Final answer
    x = 4,900.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.