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Finding the Fourth Proportional to 3,678.76, 5,076.75 and 2,261.89

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Solution

The fourth proportional to 3,678.76, 5,076.75 and 2,261.89 is: 3,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.76 : 5,076.75 = 2,261.89 : x
  2. Step 2: Convert to fraction form
    3,678.76/5,076.75 = 2,261.89/x
  3. Step 3: Cross multiply
    3,678.76x = 5,076.75 × 2,261.89
  4. Step 4: Simplify right side
    3,678.76x = 11,483,050.06
  5. Step 5: Solve for x
    x = 11,483,050.06/3,678.76
  6. Step 6: Final answer
    x = 3,121.45

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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.