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Finding the Fourth Proportional to 3,548.94, 5,324.76 and 1,601.16

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Solution

The fourth proportional to 3,548.94, 5,324.76 and 1,601.16 is: 2,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.94 : 5,324.76 = 1,601.16 : x
  2. Step 2: Convert to fraction form
    3,548.94/5,324.76 = 1,601.16/x
  3. Step 3: Cross multiply
    3,548.94x = 5,324.76 × 1,601.16
  4. Step 4: Simplify right side
    3,548.94x = 8,525,792.72
  5. Step 5: Solve for x
    x = 8,525,792.72/3,548.94
  6. Step 6: Final answer
    x = 2,402.35

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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.