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Finding the Fourth Proportional to 4,245.64, 5,859.87 and 2,477.41

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Solution

The fourth proportional to 4,245.64, 5,859.87 and 2,477.41 is: 3,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245.64 : 5,859.87 = 2,477.41 : x
  2. Step 2: Convert to fraction form
    4,245.64/5,859.87 = 2,477.41/x
  3. Step 3: Cross multiply
    4,245.64x = 5,859.87 × 2,477.41
  4. Step 4: Simplify right side
    4,245.64x = 14,517,300.54
  5. Step 5: Solve for x
    x = 14,517,300.54/4,245.64
  6. Step 6: Final answer
    x = 3,419.34

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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.