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Finding the Fourth Proportional to 3,475.52, 5,208.48 and 2,827.52

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Solution

The fourth proportional to 3,475.52, 5,208.48 and 2,827.52 is: 4,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.52 : 5,208.48 = 2,827.52 : x
  2. Step 2: Convert to fraction form
    3,475.52/5,208.48 = 2,827.52/x
  3. Step 3: Cross multiply
    3,475.52x = 5,208.48 × 2,827.52
  4. Step 4: Simplify right side
    3,475.52x = 14,727,081.37
  5. Step 5: Solve for x
    x = 14,727,081.37/3,475.52
  6. Step 6: Final answer
    x = 4,237.37

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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.