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Finding the Fourth Proportional to 3,678.58, 5,076.48 and 2,107

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Solution

The fourth proportional to 3,678.58, 5,076.48 and 2,107 is: 2,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.58 : 5,076.48 = 2,107 : x
  2. Step 2: Convert to fraction form
    3,678.58/5,076.48 = 2,107/x
  3. Step 3: Cross multiply
    3,678.58x = 5,076.48 × 2,107
  4. Step 4: Simplify right side
    3,678.58x = 10,696,143.36
  5. Step 5: Solve for x
    x = 10,696,143.36/3,678.58
  6. Step 6: Final answer
    x = 2,907.68

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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.