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Finding the Fourth Proportional to 5,110, 7,051.74 and 2,872.26

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Solution

The fourth proportional to 5,110, 7,051.74 and 2,872.26 is: 3,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110 : 7,051.74 = 2,872.26 : x
  2. Step 2: Convert to fraction form
    5,110/7,051.74 = 2,872.26/x
  3. Step 3: Cross multiply
    5,110x = 7,051.74 × 2,872.26
  4. Step 4: Simplify right side
    5,110x = 20,254,395.47
  5. Step 5: Solve for x
    x = 20,254,395.47/5,110
  6. Step 6: Final answer
    x = 3,963.68

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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.