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Finding the Fourth Proportional to 5,003.24, 7,506.12 and 1,883.60

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Solution

The fourth proportional to 5,003.24, 7,506.12 and 1,883.60 is: 2,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.24 : 7,506.12 = 1,883.60 : x
  2. Step 2: Convert to fraction form
    5,003.24/7,506.12 = 1,883.60/x
  3. Step 3: Cross multiply
    5,003.24x = 7,506.12 × 1,883.60
  4. Step 4: Simplify right side
    5,003.24x = 14,138,527.63
  5. Step 5: Solve for x
    x = 14,138,527.63/5,003.24
  6. Step 6: Final answer
    x = 2,825.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.