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Finding the Fourth Proportional to 4,013.77, 5,539.04 and 2,420.50

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Solution

The fourth proportional to 4,013.77, 5,539.04 and 2,420.50 is: 3,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.77 : 5,539.04 = 2,420.50 : x
  2. Step 2: Convert to fraction form
    4,013.77/5,539.04 = 2,420.50/x
  3. Step 3: Cross multiply
    4,013.77x = 5,539.04 × 2,420.50
  4. Step 4: Simplify right side
    4,013.77x = 13,407,229.45
  5. Step 5: Solve for x
    x = 13,407,229.45/4,013.77
  6. Step 6: Final answer
    x = 3,340.31

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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.