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Finding the Fourth Proportional to 5,109.64, 7,051.72 and 2,871.66

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Solution

The fourth proportional to 5,109.64, 7,051.72 and 2,871.66 is: 3,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.64 : 7,051.72 = 2,871.66 : x
  2. Step 2: Convert to fraction form
    5,109.64/7,051.72 = 2,871.66/x
  3. Step 3: Cross multiply
    5,109.64x = 7,051.72 × 2,871.66
  4. Step 4: Simplify right side
    5,109.64x = 20,250,142.26
  5. Step 5: Solve for x
    x = 20,250,142.26/5,109.64
  6. Step 6: Final answer
    x = 3,963.13

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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.