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Finding the Fourth Proportional to 4,188.77, 5,782.47 and 2,420.03

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Solution

The fourth proportional to 4,188.77, 5,782.47 and 2,420.03 is: 3,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.77 : 5,782.47 = 2,420.03 : x
  2. Step 2: Convert to fraction form
    4,188.77/5,782.47 = 2,420.03/x
  3. Step 3: Cross multiply
    4,188.77x = 5,782.47 × 2,420.03
  4. Step 4: Simplify right side
    4,188.77x = 13,993,738.77
  5. Step 5: Solve for x
    x = 13,993,738.77/4,188.77
  6. Step 6: Final answer
    x = 3,340.78

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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.