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Finding the Fourth Proportional to 3,623.72, 5,000.34 and 2,051.50

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Solution

The fourth proportional to 3,623.72, 5,000.34 and 2,051.50 is: 2,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.72 : 5,000.34 = 2,051.50 : x
  2. Step 2: Convert to fraction form
    3,623.72/5,000.34 = 2,051.50/x
  3. Step 3: Cross multiply
    3,623.72x = 5,000.34 × 2,051.50
  4. Step 4: Simplify right side
    3,623.72x = 10,258,197.51
  5. Step 5: Solve for x
    x = 10,258,197.51/3,623.72
  6. Step 6: Final answer
    x = 2,830.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.