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Finding the Fourth Proportional to 2,728.22, 3,762.06 and 2,506.28

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Solution

The fourth proportional to 2,728.22, 3,762.06 and 2,506.28 is: 3,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.22 : 3,762.06 = 2,506.28 : x
  2. Step 2: Convert to fraction form
    2,728.22/3,762.06 = 2,506.28/x
  3. Step 3: Cross multiply
    2,728.22x = 3,762.06 × 2,506.28
  4. Step 4: Simplify right side
    2,728.22x = 9,428,775.74
  5. Step 5: Solve for x
    x = 9,428,775.74/2,728.22
  6. Step 6: Final answer
    x = 3,456.02

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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.