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Finding the Fourth Proportional to 3,678.40, 5,076.62 and 2,107

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Solution

The fourth proportional to 3,678.40, 5,076.62 and 2,107 is: 2,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.40 : 5,076.62 = 2,107 : x
  2. Step 2: Convert to fraction form
    3,678.40/5,076.62 = 2,107/x
  3. Step 3: Cross multiply
    3,678.40x = 5,076.62 × 2,107
  4. Step 4: Simplify right side
    3,678.40x = 10,696,438.34
  5. Step 5: Solve for x
    x = 10,696,438.34/3,678.40
  6. Step 6: Final answer
    x = 2,907.91

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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.