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Finding the Fourth Proportional to 3,702.63, 5,558.28 and 2,923.16

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Solution

The fourth proportional to 3,702.63, 5,558.28 and 2,923.16 is: 4,388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.63 : 5,558.28 = 2,923.16 : x
  2. Step 2: Convert to fraction form
    3,702.63/5,558.28 = 2,923.16/x
  3. Step 3: Cross multiply
    3,702.63x = 5,558.28 × 2,923.16
  4. Step 4: Simplify right side
    3,702.63x = 16,247,713.97
  5. Step 5: Solve for x
    x = 16,247,713.97/3,702.63
  6. Step 6: Final answer
    x = 4,388.15

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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.