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Finding the Fourth Proportional to 5,302.89, 7,958.00 and 1,840.14

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Solution

The fourth proportional to 5,302.89, 7,958.00 and 1,840.14 is: 2,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.89 : 7,958.00 = 1,840.14 : x
  2. Step 2: Convert to fraction form
    5,302.89/7,958.00 = 1,840.14/x
  3. Step 3: Cross multiply
    5,302.89x = 7,958.00 × 1,840.14
  4. Step 4: Simplify right side
    5,302.89x = 14,643,838.72
  5. Step 5: Solve for x
    x = 14,643,838.72/5,302.89
  6. Step 6: Final answer
    x = 2,761.48

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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.