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Finding the Fourth Proportional to 3,871.90, 5,343.71 and 2,300.00

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Solution

The fourth proportional to 3,871.90, 5,343.71 and 2,300.00 is: 3,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.90 : 5,343.71 = 2,300.00 : x
  2. Step 2: Convert to fraction form
    3,871.90/5,343.71 = 2,300.00/x
  3. Step 3: Cross multiply
    3,871.90x = 5,343.71 × 2,300.00
  4. Step 4: Simplify right side
    3,871.90x = 12,290,494.78
  5. Step 5: Solve for x
    x = 12,290,494.78/3,871.90
  6. Step 6: Final answer
    x = 3,174.28

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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.