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Finding the Fourth Proportional to 3,758.54, 5,188.48 and 2,501.82

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Solution

The fourth proportional to 3,758.54, 5,188.48 and 2,501.82 is: 3,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.54 : 5,188.48 = 2,501.82 : x
  2. Step 2: Convert to fraction form
    3,758.54/5,188.48 = 2,501.82/x
  3. Step 3: Cross multiply
    3,758.54x = 5,188.48 × 2,501.82
  4. Step 4: Simplify right side
    3,758.54x = 12,980,643.03
  5. Step 5: Solve for x
    x = 12,980,643.03/3,758.54
  6. Step 6: Final answer
    x = 3,453.64

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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.