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Finding the Fourth Proportional to 5,003.76, 7,504.77 and 1,840.50

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Solution

The fourth proportional to 5,003.76, 7,504.77 and 1,840.50 is: 2,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.76 : 7,504.77 = 1,840.50 : x
  2. Step 2: Convert to fraction form
    5,003.76/7,504.77 = 1,840.50/x
  3. Step 3: Cross multiply
    5,003.76x = 7,504.77 × 1,840.50
  4. Step 4: Simplify right side
    5,003.76x = 13,812,529.19
  5. Step 5: Solve for x
    x = 13,812,529.19/5,003.76
  6. Step 6: Final answer
    x = 2,760.43

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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.